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6-8 Grade 6 Unit 1 Lesson 17

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K-5 Math •6-8 Math 9-12 Math

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Lesson 1 Lesson 2 Lesson 3 Lesson 4 Lesson 5 Lesson 6 Lesson 7 Lesson 8 Lesson 9 Lesson 10 Lesson 11 Lesson 12 Lesson 13 Lesson 14 Lesson 15 Lesson 16 •Lesson 17 Lesson 18 Lesson 19

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IM K-5 Math
IM 6-8 Math
IM 9-12 Math

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Unit 1, Lesson 17

Squares and Cubes

Grade 6

Practice

Problem 1

What is the volume of this cube?

cube, side length = 2 centimeters

to access Practice Problem Solutions.

Problem 2

Decide if each number on the list is a perfect square.

16

20

25

100

125

144

225

10,000
Write a sentence that explains your reasoning.

to access Practice Problem Solutions.

Problem 3

Decide if each number on the list is a perfect cube.

1

3

8

9

27

64

100

125
Explain what a perfect cube is.

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Problem 4

A square has a side length of 4 cm. What is its area?
The area of a square is 49 m². What is its side length?
A cube has an edge length of 3 in. What is its volume?

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Problem 5

ForLesson 16: Distinguishing Between Surface Area and Volume

Prism A and Prism B are rectangular prisms.

Prism A is 3 inches by 2 inches by 1 inch.
Prism B is 1 inch by 1 inch by 6 inches.

Select all statements that are true about the two prisms.

They have the same volume.
They have the same number of faces.
More inch cubes can be packed into Prism A than into Prism B.

Problem 6

ForLesson 14: Nets and Surface Area

What polyhedron can be assembled from this net?
What information would you need to find its surface area? Be specific, and label the diagram as needed.

Net of a triangular prism

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Problem 7

ForLesson 15: More Nets, More Surface Area

Find the surface area of this triangular prism. All measurements are in meters.

trianglular prism with dimensions provided

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Lesson 17 Resources

Student Materials Student Materials in Spanish

The two prisms have the same surface area.

The surface area of Prism B is greater than that of Prism A.

to access Practice Problem Solutions.