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## Surface Area Worksheet 6th Grade

Welcome to our Surface Area Worksheet 6th Grade collection.

Here you will find a range of surface area worksheets to help you learn how to find the surface area of a range of different nets including cubes, prisms and pyramids.

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## Surface Area Support

- Surface Area of Cubes Worksheets
- Surface Area of Cuboids Worksheets
- Surface Area of Prisms and Pyramids Worksheets
- Surface Area Mixed 3D shapes Worksheets
- More recommended resources
- 6th Grade Surface Area Online Quiz

## Surface Area Worksheet 6th Grade Collection

This page is all about finding the surface area of a range of different 3d shapes, drawn as nets.

The 3d shapes include:

- cubes and cuboids;
- triangular prisms;
- square pyramids.

Some of the sheets also involve working out the lengths of an unknown side, when the surface area is given.

Want to test yourself to see how well you have understood this skill?.

- Try our NEW quick quiz at the bottom of this page.

What is the surface area of a 3d shape?

The surface area of a 3D shape is the sum of the areas on all of the outer faces.

How to find the surface area of a 3d shape?

To find the surface area of a 3d shape, we need to find the area of each of the faces.

To find the area of square and rectangular faces, we just need to multiply the adjacent sides together.

To find the area of triangular faces, we need to multiply the base by the perpendicular height and then halve the answer.

Example 1) Find the surface area of the cube below.

The width of one side of each square face is 4cm.

So the area of each square face is 4 x 4 = 16 cm 2 .

The cube has 6 identical square faces, so the total surface area is 16 x 6 = 96 cm 2 .

Example 2) What is the surface area of the cube below.

The width of one side of each square face is 1 ½ inches.

So the area of each square face is 1 ½ x 1 ½ = 2 ¼ in 2 .

The cube has 6 identical square faces, so the total surface area is 2 ¼ x 6 = 13 ½ in 2 .

Example 3) Find the surface area of the cuboid below.

There are 6 faces in the cuboid, with 3 identical faces each repeated twice.

Face1: 6cm by 4cm. Area = 6 x 4 = 24 cm 2

Face2: 6cm by 3cm. Area = 6 x 3 = 18 cm 2

Face3: 3cm by 4cm. Area = 3 x 4 = 12 cm 2

The surface area of the cuboid is (Area of Face1 x 2) + (Area of Face2 x 2) + (Area of Face3 x 2)

So the surface area of this cuboid is (24 x 2) + (18 x 2) + (12 x 2) = 48 + 36 + 24 = 108 cm 2 .

Example 4) What is the surface area of the triangular prism below.

The triangular prism has 5 faces, two identical triangular faces, and three rectangular faces, two of which are identical.

Face1 (rectangular): 10 in by 5 in. Area = 10 x 5 = 50 in 2

Face2 (rectangular): 10 in by 6 in. Area = 10 x 6 = 60 in 2

Face3 (triangular): 6 in base and 4 in perpendicular height. Area = ½ x 6 x 4 = 3 x 4 = 12 in 2

So the surface area of the triangular prism is (Area of Face1 x 2) + Area of Face2 + (Area of Face3 x 2).

So the surface area is (50 x 2) + 60 + (12 x 2) = 100 + 60 + 24 = 184 in 2 .

Example 5) Find the surface area of the square pyramid below.

The square pyramid has one square face and four identical triangular faces.

Square Face: 12cm by 12cm. Area = 12 x 12 = 144 cm 2

Triangular Face: base: 12 cm perpendicular height: 8 cm. Area: ½ x 12 x 8 = 6 x 8 = 48 cm 2

The surface area of the pyramid is (Area of Square Face) + (Area of Triangular Face x 4)

So the surface area of this pyramid is 144 + (48 x 4) = 144 + 192 = 336 cm 2 .

## Surface Area Worksheets

Surface area worksheet 6th grade - cube worksheets.

These sheets involve working out the surface area of a range of cubes.

The first two sheets involve finding the surface area of the cubes.

The third sheet is harder and also involves finding the length of one side of the square face, when the surface area is given.

- Surface Area of Cubes Sheet 1
- PDF version
- Surface Area of Cubes Sheet 2
- Surface Area of Cubes Sheet 3

## Surface Area Worksheet 6th Grade - Cuboid Worksheets

These sheets involve working out the surface area of a range of cuboids from their nets.

The first two sheets involve finding the surface area of the cuboids.

The cuboids in the 2nd sheet have fractional length sides.

The third sheet is harder and involves finding the length of one side of the cuboid, when the surface area and two of the other sides are given.

- Surface Area of Cuboids Sheet 1
- Surface Area of Cuboids Sheet 2
- Surface Area of Cuboids Sheet 3

## Surface Area Worksheet 6th Grade - Square Pyramid Worksheets

These sheets involve working out the surface area of a range of square pyramids from their nets.

- Surface Area of Square Pyramid Sheet 1

## Surface Area Worksheet 6th Grade - Triangular Prism Worksheets

These sheets involve working out the surface area of a range of triangular prisms from their nets.

- Surface Area of Triangular Prisms Sheet 1

## Surface Area Worksheet 6th Grade - Mixed Worksheets

These sheets involve working out the surface area of a range of different 3d shapes from the sheets above.

Shapes covered: cubes, cuboids, square pyramids and triangular prisms.

- Mixed Surface Area Worksheets 1
- Mixed Surface Area Worksheets 2

## Surface Area of Cubes Pyramids and Prisms Walkthrough Video

This short video walkthrough shows several problems from our Surface Area Cubes Prisms & PyramidsWorksheet 1 being solved and has been produced by the West Explains Best math channel.

If you would like some support in solving the problems on these sheets, check out the video!

## More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

## More 6th Grade Geometry Worksheets

Here is our range of 6th grade Geometry worksheets including area and perimeter worksheets.

- Area of Quadrilaterals

- Surface Area of a Box
- Area of Right Triangle
- Square Inside a Circle Area Support Page
- Coordinate Plane Worksheets (All 4 Quadrants)

## Surface Area 6th Grade Online Quiz

Our quizzes have been created using Google Forms.

At the end of the quiz, you will get the chance to see your results by clicking 'See Score'.

This will take you to a new webpage where your results will be shown. You can print a copy of your results from this page, either as a pdf or as a paper copy.

For incorrect responses, we have added some helpful learning points to explain which answer was correct and why.

We do not collect any personal data from our quizzes, except in the 'First Name' and 'Group/Class' fields which are both optional and only used for teachers to identify students within their educational setting.

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We would be grateful for any feedback on our quizzes, please let us know using our Contact Us link, or use the Facebook Comments form at the bottom of the page.

This quick quiz tests your knowledge and skill at finding the surface area of different 3d nets.

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## 6th Grade geometry worksheets: Perimeters, surface area, and volume measurements

Are you ready to help your 6th-grade students to become better problem solvers with geometry? Then, let's get started and have fun with Mathskills4kids’ 6th-grade geometry worksheets practice. Apart from finding a shape's length, area, or volume using formulas, tools, or reasoning, geometric measurement also involves finding a shape's perimeter, surface area, or volume measurements using formulas, tools, or reasoning.

Perimeter is the distance around a shape. Surface area is the area of the faces of a 3D shape. Volume is the space inside a 3D shape.

## Geometric measurement skills can help your 6th graders become better problem solvers.

Welcome to this article on 6th-grade geometry worksheets! Geometry is the branch of mathematics that deals with shapes, sizes, angles, and positions. Geometric measurement skills are among the most important skills your 6 th graders need to become better problem solvers .

Also, geometry is a very useful and fun subject to learn because it helps us better understand the world around us. We can use geometry to measure and compare different objects, to design and create new things, and to solve many kinds of problems.

This article will provide examples of common shapes and their perimeters, surface areas, and volumes . We will also provide exercises to help students apply what they have learned. Also, they will learn how to apply geometry concepts to real-life situations and other resources to help them improve their geometric measurement skill.

Let’s get started!

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## Start practice on Sixth Grade here

What is the importance of practicing perimeter, surface area, and volume measurements in 6th grade.

Perimeter, surface area, and volume measurements are three important concepts in 6th-grade geometry that help students measure different aspects of shapes. Students can develop their spatial reasoning and problem-solving skills by practicing these concepts.

They will also learn how to use formulas and tools to find the measurements of various shapes. These skills can help them in many areas of math and science, such as algebra, physics, engineering, and more. They can also help students to understand the world around them better and to solve real-life problems involving shapes and space.

## Perimeter: How to measure the distance around a shape

The perimeter of a shape is the total distance around its boundary . To find the perimeter of a shape, we need to add up the lengths of all its sides. For example, the perimeter of a square with a side length of 5 cm is 5 + 5 + 5 + 5 = 20 cm. The perimeter of a rectangle with a length of 8 cm and a width of 6 cm is 8 + 6 + 8 + 6 = 28 cm.

Some shapes have unique formulas for their perimeters. For example, the perimeter of a circle with a radius of r is 2πr, where π is approximately 3.14. The perimeter of a regular polygon with n sides and a side length of s is ns. A regular polygon is a shape that has equal sides and angles.

To measure the perimeter of a shape, we use tools such as rulers, tape measures, or string. We can also use reasoning and estimation to find the perimeter of a shape if we know some information about it. For example, if you know that a square has an area of 25 cm2, you can find its side length by taking the square root of 25, which is 5 cm. Then, you can find its perimeter by multiplying 5 by 4, which is 20 cm.

## Surface area: How to measure the area of the faces of a 3D shape

The surface area of a 3D shape is the total area of all its faces. To find the surface area of a 3D shape, we need to add up the areas of all its faces. For example, the surface area of a cube with an edge length of 4 cm is 6 × (4 × 4) = 96 cm2. This is because a cube has six faces that are all squares with an area of 4 × 4 cm2.

Some 3D shapes have unique formulas for their surface areas. For example, the surface area of a sphere with a radius of r is 4πr2. The surface area of a cylinder with a radius of r and a height of h is 2πr2 + 2πrh. The surface area of a cone with a radius of r and a slant height of l is πr2 + πrl.

To measure the surface area of a 3D shape , we can use tools such as rulers, protractors, or nets. A net is a flat pattern that can be folded to make a 3D shape. We can also use reasoning and estimation to find the surface area of a 3D shape if we know some information about it.

For example, if you know that a cube has a volume of 64 cm3, you can find its edge length by taking the cube root of 64, which is 4 cm. Then you can find its surface area by multiplying 6 by (4 × 4), which is 96 cm2.

## Volume: How to measure the space inside a 3D shape

Another important concept in geometry is volume . Volume is the amount of space that a 3D shape occupies. We can think of volume as how much water a shape can hold or how many cubes can fit inside a shape.

To find the volume of a 3D shape, we need to know its base area and height. The base area is the area of the face that the shape stands on. The height is the distance from the base to the opposite face. The formula for volume is:

Volume = Base area x Height

For example, to find the volume of a rectangular prism , multiply the area of the rectangular base by the height of the prism. The area of a rectangle is length x width, so the formula for volume is:

Volume = Length x Width x Height

Some 3D shapes have different formulas for volume, depending on their shape. For example, to find the volume of a cylinder , multiply the circular base's area by the cylinder's height. The area of a circle is pi x radius squared, so the formula for volume is:

Volume = Pi x Radius squared x Height

Here are some other common 3D shapes and their formulas for volume:

- Cube : Volume = Side cubed
- Sphere : Volume = 4/3 x Pi x Radius cubed
- Cone : Volume = 1/3 x Pi x Radius squared x Height
- Pyramid : Volume = 1/3 x Base area x Height

## Examples: Some common shapes and their perimeters, surface areas, and volumes

To help your 6 th graders understand these concepts better, let's look at some examples of common shapes and their measurement s, i.e., perimeters, surface areas, and volumes . Students can use these examples as a reference when practicing their calculations.

Perimeter = 2 x Length + 2 x Width

Surface area = Length x Width

For example, if a rectangle has a length of 10 cm, a width of 5 cm, and a height of 3 cm, then:

Perimeter = 2 x 10 + 2 x 5 = 30 cm

Surface area = 10 x 5 = 50 cm squared

Volume = 10 x 5 x 3 = 150 cm cubed

Perimeter (also called circumference) = 2 x Pi x Radius

Surface area (also called area) = Pi x Radius squared

Volume (of a sphere) = 4/3 x Pi x Radius cubed

For example, if a circle has a radius of 4 cm, then:

Perimeter = 2 x Pi x 4 = 25.13 cm (approx.)

Surface area = Pi x 4 squared = 50.27 cm squared (approx.)

Volume (of a sphere) = 4/3 x Pi x 4 cubed = 268.08 cm cubed (approx.)

Perimeter = Side A + Side B + Side C

Surface area (also called area) = Base x Height / 2

Volume (of a pyramid) = Base area x Height / 3

For example, if a triangle has a base of 6 cm, a height of 4 cm, and sides of length 5 cm, then:

Perimeter = 5 + 5 + 6 = 16 cm

Surface area = 6 x 4 / 2 = 12 cm squared

Volume (of a pyramid) = Base area x Height /3

= (6x4/2) x (4/3)

=12 x (4/3)

=16 cm cubed

## Practice: Some exercises for 6 th graders to apply what they learned

Now that your 6 th graders have learned about perimeters, surface areas, and volumes , it's time to practice their skills. Here are some exercises from Mathskills4kids’ 6th-grade geometry worksheets that they can try to solve independently. They can use rulers, protractors, or calculators to measure shapes. They can also use reasoning and estimation to check their answers.

Find the perimeter, surface area, and volume of each shape below. Round your answers to two decimal places if necessary.

- A square with a side length of 8 cm.
- A circle with a radius of 5 cm.
- A cube with an edge length of 6 cm.
- A cylinder with a radius of 3 cm and height of 10 cm.
- A cone with a radius of 4 cm and height of 12 cm.

Find the missing measurements of each shape below. Round your answers to two decimal places if necessary.

- A rectangle with a length of 15 cm and a perimeter of 46 cm. What is the width and the surface area?
- A circle with an area of 78.54 cm squared. What is the radius and the perimeter?
- A sphere with a volume of 523.6 cm cubed. What is the radius and the surface area?
- A pyramid with a base area of 36 cm squared and a volume of 48 cm cubed. What is the height and the surface area?
- A triangular prism with a base area of 18 cm squared, height of 9 cm, and volume of 162 cm cubed. What is the length and the surface area?

## How to apply geometry concepts to real-life situations

Geometry is useful in the math class and also in everyday life. We can use geometric measurement concepts to solve real-life situations such as:

- How much paint do you need to cover a wall or a room?
- How much wrapping paper do you need to wrap a gift box?
- How much water can a tank or a bottle hold?
- How much space do you need to store or pack some items?
- How much land do you own or need to buy?
- How much fence do you need to enclose a garden or a yard?

To solve these problems, we need to identify the shapes involved and their dimensions. Then, use the appropriate formulas to find the measurements that are needed. We also need to pay attention to the units of measurement and convert them if necessary.

Here are some more examples of how to apply geometry concepts to real-life situations :

- If you want to paint a wall, you need to know its surface area to buy enough paint. You can use the formula for the surface area of a rectangle to find the answer.
- If you want to buy a new backpack, you need to know its volume to see how much stuff you can fit inside. You can use the formula for the volume of a prism to find the answer.
- If you want to make a fence around your garden, you need to know its perimeter to buy enough wood. You can use the formula for the perimeter of a polygon to find the answer.
- If you want to design a logo, you need to know how to use angles and shapes to create a symmetrical and appealing image. You can use protractors and rulers to measure angles and shapes.
- To plan a trip, know how to use maps and scales to estimate distances and time. You can use ratios and proportions to convert measurements.

As you can see, geometry is everywhere and can help us with many things. The more your students practice geometric measurement skills, the more confident and creative they will become.

## Bonus: What other resources can help 6th graders to practice their geometric measurement skills?

If you want your 6 th graders to learn more about geometry and practice their geometric measurement skills , many resources can help you. Here are some web links with descriptions that you can check out:

- https://www.mathsisfun.com/geometry/index.html : This website has interactive lessons, games, quizzes, and worksheets on various geometry topics, such as angles, shapes, area, volume, and more.
- https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic : This website has videos, articles, and exercises on 6th-grade geometry topics, such as area and perimeter, surface area and volume, angles, and coordinate plane.
- https://www.mathplayground.com/index_geometry.html : This website has fun and challenging games that test students’ geometry skills, such as finding missing angles, calculating area and perimeter, matching shapes, and more.
- https://www.mathworksheets4kids.com/geometry.php : This website has printable worksheets that cover various geometry topics, such as polygons, circles, triangles, quadrilaterals, transformations, symmetry, and more.

Thank you for sharing the links of MathSkills4Kids.com with your loved ones. Your choice is greatly appreciated.

In this article, you and your 6th-grade students have learned more about perimeter, surface area, and volume measurements . 6 th graders have learned what they are and why they are important. They have learned how to calculate them using formulas, how to use tools such as rulers, protractors, or calculators to measure shapes, how to use reasoning and estimation to find measurements, how to apply geometric measurement concepts to real-life problems, and how to find more resources to practice their geometric measurement skill.

We hope this article helped your students become better problem solvers with geometry. Remember that geometry is not only useful for math class but also for everyday life. The more kids practice their geometric measurement skills, the more confident and creative they will become.

Thank you for reading this article. We hope you enjoyed it and learned something new. Have fun with geometry!

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Here are some more worksheets about volume and surface area (in html format).

- Find the volume of a prism when its dimensions are given or edge length of a cube when its volume is given (grade 5; easy)
- Find the volume or surface area of rectangular prisms (includes decimal numbers; grades 5-6)
- Find the volume of a rectangular prism with fractional edge lengths (halves, thirds, and fourths; the whole number part is max 5; grade 6)
- Problem solving: find the volume or surface area when either surface area or volume and some dimensions are given (for 8th/9th grade as you will need to solve an equation)

Interactive 3-Dimensional Shapes (Solids) With this interactive 3-D shape explorer, you can visualize and rotate the following solids: cube, cuboid (a.k.a rectangular prism), tetrahedron, square pyramid, octahedron, triangular prism, and cylinder. Drag the shape with the mouse to rotate it. See the net of each solid (click the button "unfold"). The activity allows students to easily count the number of faces, edges, and vertices of the solids.

Interactive Unit Cubes Tool This unit cube activity helps students understand 3-dimensional space, visualize solids in it, and to understand the basic idea of volume. It's most useful for grades 3-5. You're given a shape made with unit cubes on the left and you need to build the same shape in the workarea on the right.

## The generator

Using the worksheet generator, you can control the type of problems, number of problems, maximum number used, the types of fractions used, workspace, border around the problems, and additional instructions.

## Brain Quest Workbook: Grade 6

The book boasts 300 pages jam-packed with curriculum-based activities and exercises in every subject, with a focus on math and language arts. Original full-color illustrations throughout give the book a bright, lively style that will appeal to older kids. It is engaging, user-friendly, and written to make schoolwork fun. Sixth graders will delve into research and analysis, metaphor and meaning, ratios and proportions, expressions and equations, and geometry. The workbook covers spelling and vocabulary, writing, social studies, science, and more.

See more Brain Quest workbooks at Amazon

## Surface Area and Volume Printable Worksheet, Grade 6

## Description

This Worksheet Includes:

* Practice questions to help students master Surface Area and Volume

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Plus access to Online Resources which include:

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## Finding the Surface Area and Volume of Solid Figures 6th Grade Math Worksheets

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## Definition:

Solid figures are three-dimensional objects with length, width, and height. Some of the commonly recognized solid shapes are pyramid, prisms, cone, sphere, etc.

SURFACE AREA AND VOLUME

- Surface Area – It is a measure of the total area that the surface of the object occupies.
- Volume – It refers to the capacity (amount) of a space occupies with a 3 dimensional objects.

## Finding the Surface Area and Volume of Solid Shapes Worksheets

This is a fantastic bundle which includes everything you need to know about Finding the Surface Area and Volume of Solid Shapes across 15+ in-depth pages. These are ready-to-use Common core aligned Grade 6 Math worksheets. Each ready to use worksheet collection includes 10 activities and an answer guide. Not teaching common core standards ? Don’t worry! All our worksheets are completely editable so can be tailored for your curriculum and target audience.

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## Volume And Surface Area Grade 6

Volume And Surface Area Grade 6 - Displaying top 8 worksheets found for this concept.

Some of the worksheets for this concept are Grade 6 rectangular prism volume surface area d, Grade 6 rectangular prism volume surface area decimals, 6 grade geometry project, Tips4math grade 6 volume surface area and capacity, Mathlinks grade 6 student packet 13 geometry, Chapter 9 practice test perimeter area volume and, Volume and surface area of rectangular prisms, Eureka lessons for 6th grade unit six nets surface.

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## 1. Grade 6 Rectangular Prism Volume Surface Area D

2. grade 6 rectangular prism volume surface area decimals, 3. 6 grade geometry project, 4. tips4math grade 6 volume, surface area and capacity, 5. mathlinks: grade 6 student packet 13 geometry, 6. chapter 9 practice test perimeter, area, volume, and ..., 7. volume and surface area of rectangular prisms ..., 8. eureka lessons for 6th grade unit six ~ nets & surface ....

## Free Printable Surface Area Worksheets for 6th Grade

Surface Area: Discover a collection of free printable math worksheets tailored for Grade 6 students to enhance their understanding of surface area concepts. Ideal for math teachers seeking quality resources.

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## Explore printable Surface Area worksheets for 6th Grade

Surface Area worksheets for Grade 6 are an essential tool for teachers looking to enhance their students' understanding of math and geometry concepts. These worksheets are specifically designed to help students grasp the fundamentals of calculating the area of various shapes and objects. By incorporating these worksheets into their lesson plans, teachers can provide their students with ample opportunities to practice and apply their newfound knowledge of surface area. Furthermore, these worksheets are tailored to meet the unique needs of Grade 6 students, ensuring that the content is both age-appropriate and engaging. With a wide variety of exercises and examples, Surface Area worksheets for Grade 6 are an invaluable resource for teachers looking to improve their students' mastery of this critical math skill.

In addition to Surface Area worksheets for Grade 6, Quizizz offers a comprehensive platform that allows teachers to create interactive quizzes, polls, and other engaging activities to supplement their lesson plans. This platform is an excellent way for teachers to reinforce key math and geometry concepts, such as area, while also providing students with a fun and interactive learning experience. Quizizz's user-friendly interface makes it easy for teachers to create customized quizzes that align with their curriculum and learning objectives. Moreover, Quizizz offers a vast library of pre-made quizzes and worksheets, covering a wide range of topics and grade levels. By incorporating Quizizz into their teaching strategies, educators can effectively enhance their students' understanding of math and geometry concepts while also promoting a more enjoyable and engaging learning environment.

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## 6.5: Area, Surface Area and Volume Formulas

- Last updated
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- Page ID 51016

- Amy Lagusker
- College of the Canyons

## Area formulas

Let \(b\) = base

Let \(h\) = height

Let \(s\) = side

Let \(r\) = radius

## Surface Area Formulas

Variables :

\(SA\) = Surface Area

\(B\) = area of the base of the figure

\(P\) = perimeter of the base of the figure

\(h\) = height

\(s\) = slant height

\(r\) = radius

## Volume Formulas

Example \(\PageIndex{1}\)

Find the area of a circle with diameter of 14 feet.

\[\begin{aligned}A&=\pi r^{2}\\&=\pi(7)^{2}\\&=49 \pi \text {feet}^{2}\\&=153.86 \text {feet}^{2} \end{aligned} \nonumber \]

Example \(\PageIndex{2}\)

Find the area of a trapezoid with a height of 12 inches, and bases of 24 and 10 inches.

\[\begin{aligned} A&=\dfrac{1}{2} h\left(b_{1}+b_{2}\right)\\ &=\dfrac{1}{2}(12)(24+10)\\ &=6(34)\\ &=204 \text { inches}^2 \end{aligned}\nonumber \]

Example \(\PageIndex{3}\)

Find the surface area of a cone with a slant height of 8 cm and a radius of 3 cm.

\[\begin{aligned} SA&= B+\pi rS\\ &=\left(\pi r^{2}\right)+\pi rs\\ &=\left(\pi\left(3^{2}\right)\right)+\pi(3)(8) \\ &=9 \pi+24 \pi\\ &=33 \pi \text {cm}^{2}\\ &=103.62 \text {cm}^{2} \end{aligned} \nonumber \]

Example \(\PageIndex{4}\)

Find the surface area of a rectangular pyramid with a slant height of 10 yards, a base width (b) of 8 yards and a base length (h) of 12 yards.

\[\begin{aligned} SA&=B+\dfrac{1}{2} s P\\ &=(b h)+\dfrac{1}{2} s(2 b+2 h) \\ &=(8)(12)+\dfrac{1}{2}(10)(2(8)+2(12)) \\ &=96+\dfrac{1}{2}(10)(16+24) \\ &=96+5(40) \\ &=296 \text { yards}^{2} \end{aligned} \nonumber \]

Example \(\PageIndex{5}\)

Find the volume of a sphere with a diameter of 6 meters.

\[\begin{aligned} V&=\dfrac{4}{3} \pi r^{3}\\ &=\dfrac{4}{3} \pi(3)^{3}\\ &=\dfrac{4}{3}(27 \pi)\\ &=36 \pi \text { meters }^{3}\\ &=113.04 \text { meters }^{3} \end{aligned} \nonumber \]

## Partner Activity 1

- Find the area of a triangle with a base of 40 inches and a height of 60 inches.
- Find the area of a square with a side of 15 feet.
- Find the surface area of Earth, which has a diameter of 7917.5 miles. Use 3.14 for PI.
- Find the volume of a can a soup, which has a radius of 2 inches and a height of 3 inches. Use 3.14 for PI.

## Practice Problems

(Problems 1 – 4) Find the area of each circle with the given parameters. Use 3.14 for PI. Round your answer to the nearest tenth.

- Radius = 9 cm
- Diameter = 6 miles
- Radius = 8.6 cm
- Diameter = 14 meters

(Problems 5 – 8) Find the area of each polygon. Round answers to the nearest tenth.

(Problems 9 – 12) Name each figure.

(Problems 13 – 17) Find the surface area of each figure. Leave your answers in terms of PI, if the answer contains PI. Round all other answers to the nearest hundredth.

(Problems 18 – 25) Find the volume of each figure. Leave your answers in terms of PI, for answers that contain PI. Round all other answers to the nearest hundredth.

## Extension: Methods of Teaching Mathematics

Assessments:

- What is the Difference between Formative and Summative Assessments? Which One is More Important?
- Formative Assessment Examples and When to Use Them
- Summative Assessment Examples and When to Use Them

Write a Formative and Summative Assessment for Your Lesson Plan

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## Surface Area & Volume

Calculating the surface area and volume worksheets for grade 6 and above. myp (ib) math worksheets also suitable for common core, ncert, cbse and other curricula. subscribe to www.grade1to6.com today.

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## Surface Area and Volume Worksheets

The surface area of any given object is the area or region occupied by the surface of the object. Volume is the amount of space available in an object. In geometry , there are different shapes and sizes such as sphere, cube, cuboid, cone, cylinder, etc. Each shape has its surface area as well as volume.

To find the surface area of a prism (or any other geometric solid) we open the solid like a carton box and flatten it out to find all included geometric forms. To find the volume of a prism (it doesn't matter if it is rectangular or triangular) we multiply the area of the base, called the base area B, by the height h.

## Download Surface Area and Volume Worksheet PDFs

These math worksheets should be practiced regularly and are free to download in PDF formats.

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## 6th Grade Math Worksheets: Geometry

Geometry worksheets.

These geometry worksheets give students practice in classifying shapes, finding perimeters, surface areas and volumes of 2-3 and 3-d shapes and other grade 6 geometry topics.

Sample Grade 6 Geometry Worksheet

## More geometry worksheets

Browse all of our geometry worksheets , from the basic shapes through areas and perimeters, angles, grids and 3D shapes.

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Below are six versions of our grade 6 math worksheet on finding the volume and surface areas of rectangular prisms. Standard units of measurement are used and students should express their answer in the correct units. These worksheets are pdf files. Worksheet #1 Worksheet #2 Worksheet #3 Worksheet #4 Worksheet #5 Worksheet #6 5 More Similar:

Example 1) Find the surface area of the cube below. The width of one side of each square face is 4cm. So the area of each square face is 4 x 4 = 16 cm 2. The cube has 6 identical square faces, so the total surface area is 16 x 6 = 96 cm 2. Example 2) What is the surface area of the cube below.

Find the volume and surface area. Rectangular prism - volume & surface area Grade 6 Geometry Worksheet Find the volume and surface area.

Our simple geometry worksheets will provide your kids confidence in finding the perimeters, surface area, and volume measurements. Our real-life examples will help your child become a pro in no time. 6th Grade geometry worksheets: Perimeters, surface area, and volume measurements Blog Worksheets Pre-K K 1st Grade 2nd Grade 3rd Grade 4th Grade

Grade 6 Geometry Worksheet Find the volume and surface area. Volume & surface area of 3D shapes Grade 6 Geometry Worksheet Find the volume and surface area.

Find the volume and surface area. 3.74 yd = 47.680512 yd3 yd SA = 79.0544 yd2 3.30 ft = 33.797280 ft3 ft SA = 62.8552 ft2 3. 4. 4.48 yd = 146.886656 yd3 yd SA = 172.0192 yd2 3.56 in = 38.157504 in3 in SA = 68.1440 in2 Online reading & math for K-5 www.k5learning.com

Learn Area of parallelograms Lesson 6: Area of parallelograms Learn Area of a parallelogram Finding height of a parallelogram Practice Up next for you: Area of parallelograms Get 3 of 4 questions to level up! Start Not started Find missing length when given area of a parallelogram Get 3 of 4 questions to level up! Practice

Find the volume and surface area. Volume & surface area of 3D shapes Grade 6 Geometry Worksheet Find the volume and surface area.

Free worksheets for the volume and surface area of cubes & rectangular prisms Find here an unlimited supply of free, printable worksheets for the volume and surface area of cubes & rectangular prisms, including with fractional edge lengths. You can control the number of problems, workspace, border around the problems, and more.

CCSS 6.G.A.2. Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas 𝘝 = 𝘭 𝘸 𝘩 and 𝘝 = 𝘣 𝘩 to find volumes of ...

Our Surface Area & Volume Worksheets are free to download, easy to use, and very flexible. These Surface Area & Volume Worksheets are a great resource for children in 5th, 6th Grade, 7th Grade, and 8th Grade. Click here for a Detailed Description of all the Geometry Worksheets. Quick Link for All Geometry Worksheets

Finding the Surface Area and Volume of Solid Shapes Worksheets. This is a fantastic bundle which includes everything you need to know about Finding the Surface Area and Volume of Solid Shapes across 15+ in-depth pages. These are ready-to-use Common core aligned Grade 6 Math worksheets. Each ready to use worksheet collection includes 10 ...

Test your understanding of Volume and surface area with these % (num)s questions. Start test. Volume and surface area help us measure the size of 3D objects. We'll start with the volume and surface area of rectangular prisms. From there, we'll tackle trickier objects, such as cones and spheres.

Surface area word problems. CCSS.Math: 6.G.A.4. Google Classroom. You might need: Calculator. Dmitri's mom is making him a tent to use for backyard camp outs with his friends. 2 m 2 m 2 m 1.7 m 3 m. She created this net to represent the material she needed. How much material will Dmitri's mom need for the tent, including the floor?

Displaying 8 worksheets for Volume And Surface Area Grade 6. Worksheets are Grade 6 rectangular prism volume surface area d, Grade 6 rectangular prism...

50+ Surface Area worksheets for 6th Grade on Quizizz | Free & Printable Free Printable Surface Area Worksheets for 6th Grade Surface Area: Discover a collection of free printable math worksheets tailored for Grade 6 students to enhance their understanding of surface area concepts. Ideal for math teachers seeking quality resources.

Table 6.5.2: Surface Area formulas; Geometric Figure . Surface Area Formula . Surface Area Meaning \(S A=2 B+P h\) Find the area of each face. Add up all areas. \(S A=B+\dfrac{1}{2} s P\) Find the area of each face. Add up all areas. \(S A=2 B+2 \pi r h\) Find the area of the base, times 2, then add the areas to the areas of the rectangle ...

Calculating the Surface area and volume Worksheets for Grade 6 and above. MYP (IB) math worksheets also suitable for Common core, NCERT, CBSE and other curricula. Subscribe to www.grade1to6.com today

These grade 6 math worksheets helps kids to understand what surface area is and understand the underlying logic used by the formulas. This worksheet will have the depiction of different figures like square, circle, triangle, rectangle, and their dimensions, kids would be required to find the surface area.

Surface Area and Volume Worksheets. The surface area of any given object is the area or region occupied by the surface of the object. Volume is the amount of space available in an object. In geometry, there are different shapes and sizes such as sphere, cube, cuboid, cone, cylinder, etc.Each shape has its surface area as well as volume.

Grade 6 math worksheets on volume and surface area of 3D body. Free pdf worksheets starting K5 Learning's wired reading and art application.

Below are six versions of our grade 6 math worksheet on volume and surface areas of 3D shapes including rectangular prisms and cylinders. Students should express their answers in the correct units of measurement. These worksheets are pdf files. Worksheet #1 Worksheet #2 Worksheet #3 Worksheet #4 Worksheet #5 Worksheet #6 5 More Similar:

6th grade geometry worksheets, including classifying and measuring angles, classifying triangles, classifying quadrilaterals, area and perimeter, area and circumference of circles, and volume and surface area of rectangular prisms. No login required.