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Spherical and Cubic Volume Applications Answers

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1
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A cube has a volume of 216 cubic centimeters. What can be concluded about this cube? Check all that apply.Recall the formula .

Question illustration
A
The side length, s, can be found using the equation
Option A
B
This is a perfect cube.
C
The side length is 72 centimeters.
D
The side length is 6 centimeters.
E
Taking the cube root of the volume will determine the side length.
F
If you multiply the volume by three, you can determine the side length.
2
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Which number is a perfect cube?

A
25
B
36
C
125
D
300
3

The volume of this sphere is cubic inches. What is its radius?Recall the formula .

Question illustration
A
7 inches
B
9 inches
C
108 inches
D
324 inches
4

Which number is a perfect cube?

A
9
B
18
C
27
D
36
5

Which statement about perfect cubes is true?

A
25 is a perfect cube because
Option A
B
30 is a perfect cube because
Option B
C
512 is a perfect cube because
Option C
D
1,875 is a perfect cube because
Option D
6

Which number is a perfect cube?

A
21
B
49
C
343
D
600
7

The volume of this sphere is cubic inches. What is its radius?Recall the formula .

Question illustration
A
3 inches
B
5 inches
C
166.7 inches
D
666.7 inches
8

The diameter of a beach ball is 10 inches. How many cubic inches of air can the beach ball hold? Use 3.14 for . Round to the nearest tenth of a cubic inch. Recall the formula .

Question illustration
Answer not available
9

A cube has a volume of 729 cubic centimeters. What can be concluded about the cube? Check all that apply.Recall the formula .

Question illustration
A
The side length, s, can be found using the equation
Option A
B
This is a perfect cube.
C
The side length is 243 centimeters.
D
The side length is 9 centimeters.
E
Taking the cube root of the volume will determine the side length.
F
If you multiply the volume by three, you can determine the side length.
10

The volume of a cube is 27 cubic inches. Which expression represents s, the length of a side of the cube?Recall the formula .

Question illustration
A
s = RootIndex 3 StartRoot 27 EndRoot
Option A
B
s = 3 + 3 + 3
Option B
C
s = StartRoot 27 EndRoot
Option C
D
s = 3 times 3 times 3 times 3
Option D

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