Navigation

6-8 Grade 6 Unit 1 Lesson 17

Gradeband

K-5 Math •6-8 Math 9-12 Math

Course

•Grade 6 Grade 7 Grade 8

Unit

•Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Unit 7 Unit 8 Unit 9

Lesson

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

K-5
6-8
9-12

Grade 6
Grade 7
Grade 8

Accelerated 6
Accelerated 7

Unit 1
Unit 2
Unit 3
Unit 4
Unit 5
Unit 6
Unit 7
Unit 8
Unit 9

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

Lesson | Practice | Loading...

Sign in to access protected content and invite other educators

Sign in using your existing Kendall Hunt account. If you don’t have one, create an educator account.

Curriculum

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

Professional Learning

Illustrative Mathematics® has operated as an independent 501(c)3 non-profit organization since 2013.

IM® 6-8 Math v.360, an IM v.360 curriculum, is ©2024 by Illustrative Mathematics®, and licensed under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).

IM 6-8 Math v.360, an IM v.360 curriculum, is a derivative of IM 6-8 Math.

IM 6–8 Math was originally developed by Open Up Resources and authored by Illustrative Mathematics®, and is ©2017-2019 by Open Up Resources. It is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0) . OUR's 6-8 Math Curriculum is available at https://openupresources.org/math-curriculum/ .

Adaptations and updates to IM 6-8 Math v.360 are ©2024 by Illustrative Mathematics, and are licensed under the Creative Commons Attribution-Noncommercial 4.0 International License (CC BY-NC 4.0).

Adaptations to add additional English language learner supports are ©2019 by Open Up Resources, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

The second set of English assessments (marked as set “B”) are ©2019 by Open Up Resources, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0) .

Spanish translation of the “B” assessments are ©2020 by Illustrative Mathematics, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

The Illustrative Mathematics name and logo are not subject to the Creative Commons license and may not be used without the prior and express written permission of Illustrative Mathematics.

This site includes public domain images or openly licensed images that are copyrighted by their respective owners. Openly licensed images remain under the terms of their respective licenses. See the image attribution section for more information.

Settings

Language

Audience

Not all roles available for this page.

Assessment Access

Sign in to view assessments and invite other educators

Sign in using your existing Kendall Hunt account. If you don’t have one, create an educator account.

English
Español

teacher
student
family

Unit 1, Lesson 17

Squares and Cubes

Grade 6

Practice

Problem 1

What is the volume of this cube?

cube, side length = 2 centimeters

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.

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.

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?

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.
The two prisms have the same surface area.
The surface area of Prism B is greater than that of Prism A.

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

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