Functions and Volume: End-of-Unit
Assessment (B)
You may use any type of calculator.
1. The graph shows the relationship between
a sphere’s radius and volume.
Select all the statements that are true about this relationship.
A. If the radius doubles, the volume doubles.
B. If the radius doubles the volume becomes about 4 times bigger.
C. If the radius doubles, the volume becomes about 8 times bigger.
D. The relationship is linear.
E. The relationship is not linear.
2. A sphere has a volume of
3
cm . What is its radius in centimeters?
A. 4.5
B. 9
C. 11
D. 18
Accelerated 7 Unit 6
End-of-Unit Assessment (B)
CC BY Open Up Resources. Adaptations CC BY IM.
1
3. A rectangular pyramid is sliced. The slice passes through
the vertex of the pyramid and is perpendicular to the
base of the pyramid.
Which of these describes the cross section?
A. A rectangle smaller than the base
B. A quadrilateral that is not a rectangle
C. A rectangle the same size as the base
D. A triangle with a height the same as the pyramid
4. For cylinders with radius 2 units, let represent the height of the cylinder, in units,
and the represent the volume of the cylinder, in cubic units.
a. Complete the table relating the height and volume of
cylinders with radius 2 inches. Write each volume as a
multiple of , or round to the nearest cubic unit.
b. Is there a linear relationship between height and volume?
Explain how you know.
1
2
3
Accelerated 7 Unit 6
End-of-Unit Assessment (B)
CC BY Open Up Resources. Adaptations CC BY IM.
2
5. Here is a triangular prism.
a. What is the volume of the prism, in cubic inches?
b. What is the surface area of the prism, in square inches?
6. Three students each calculated the volume of a sphere with a radius of 6
centimeters.
cubic centimeters.
◦ Diego found the volume to be
◦ Andre approximated 904 cubic centimeters.
◦ Noah calculated 226 cubic centimeters.
Do you agree with any of them? Explain your reasoning.
Accelerated 7 Unit 6
End-of-Unit Assessment (B)
CC BY Open Up Resources. Adaptations CC BY IM.
3
7. There are many cones with a height of 12 inches. Let represent the radius and
represent the volume of these cones.
a. Write an equation that expresses the relationship between
an approximation for .
b. Plot points that show the volume when
your reasoning.
,
,
and . Use 3.14 as
, and
. Show
c. A vendor at a street fair sells popcorn in cones, all of height 9 inches. The
sharing-size cone has 3 times the radius of the skinny-size cone. About how
many times more popcorn does the sharing cone hold than the skinny cone?
Accelerated 7 Unit 6
End-of-Unit Assessment (B)
CC BY Open Up Resources. Adaptations CC BY IM.
4
Accelerated 7 Unit 6
End-of-Unit Assessment (B)
IM 6–8 Math was originally developed by Open Up Resources and authored by Illustrative
Mathematics, and is copyright 2017-2019 by Open Up Resources. It is licensed under the Creative
Commons Attribution 4.0 International License (CC BY 4.0), creativecommons.org/licenses/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 are copyright 2019 by Illustrative Mathematics,
www.illustrativemathematics.org, and are licensed under the Creative Commons Attribution 4.0
International License (CC BY 4.0), creativecommons.org/licenses/by/4.0/. Adaptations to add
additional English language learner supports are copyright 2019 by Open Up Resources,
openupresources.org, and are licensed under the Creative Commons Attribution 4.0 International
License (CC BY 4.0), https://creativecommons.org/licenses/by/4.0/. The second set of English
assessments (marked as set "B") are copyright 2019 by Open Up Resources, openupresources.org,
and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0),
creativecommons.org/licenses/by/4.0/. Adaptations and additions to create IM 6–8 Math
Accelerated are copyright 2020 by Illustrative Mathematics, www.illustrativemathematics.org, and
are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0),
https://creativecommons.org/licenses/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 consent of Illustrative Mathematics. These materials include 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
5
information.