Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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The length of one edge of a cube is 5 cm. What is the volume of the cube?
a. | 150 cm3 | b. | 125 cm3 | c. | 60 cm3 | d. | 75
cm3 |
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2.
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A cube is made from 27 centimetre cubes. What is the volume of the cube?
a. | 54 cm3 | b. | 18 cm3 | c. | 36 cm3 | d. | 27
cm3 |
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3.
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A square prism is 12 cm tall. The side length of the square base is 5 cm.
What is the volume of the prism?
a. | 88 cm3 | b. | 300 cm3 | c. | 85 cm3 | d. | 240
cm3 |
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4.
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Find the volume of this triangular prism. 
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5.
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Find the volume of this triangular prism.  a. | 160 m3 | b. | 80 m3 | c. | 320 m3 | d. | 184
m3 |
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6.
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The base of a triangular prism is a right isosceles triangle. Each leg of the
triangle measures 2 cm.
The length of the prism is 8 cm. Find the volume of the prism.
a. | 8 cm3 | b. | 32 cm3
| c. | 4
cm3 | d. | 16 cm3 |
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7.
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Find the volume of this cylinder. Leave  in your answer.
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8.
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Find the volume of this cylinder. Leave  in your answer.
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9.
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Tamara needs to buy motor oil to fill the 5 empty cylindrical barrels at her oil
service center. Each barrel is 3.0 m deep and has radius 1.5 m. What is the volume of oil needed?
Use  and give your answer to the nearest hundredth. a. | 84.78 m3 | b. | 423.9 m3 | c. | 141.3 m3 | d. | 105.98
m3 |
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Short Answer
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10.
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Find the volume of this square prism. 
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11.
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A large slab of chocolate measures 32 cm by 72 cm by 3 cm. a) What is the volume of chocolate
slab?
b) The chocolate slab is shared equally among 36 students.
How much chocolate does each student get?
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12.
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Rectangular prism A measures 11 cm by 9 cm by 5 cm.
Rectangular prism B
measures 16 cm by 5 cm by 6 cm.
Do the two prisms have the same volume? If not, which one has the
greater volume? Explain.
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13.
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A right rectangular prism has a volume of 240 cm 3. It is divided
into 2 congruent triangular prisms along the diagonal shown. Find the volume of each triangular
prism. 
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14.
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a) Find the volume
of each right triangular prism.
b) Which prism has the greater
volume?
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15.
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A right triangular prism has a volume of 8 cm2.
Find all possible
whole number values for A, the area of the base and l, the length of the prism.
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16.
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There are 26 concrete cylindrical pillars in a stadium. Each column has
diameter 3.4 m and height 12 m. Calculate the total volume of concrete in the pillars, to the
nearest cubic metre. Use  .
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17.
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Juice concentrate is poured into cylindrical cans with diameter 6 cm and height
11.6 cm. A space of 1.5 cm is left at the top of each can to allow for expansion when the
concentrate freezes. What volume of concentrate, to the nearest millilitre, is poured into each
can? Use  .
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18.
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Which right cylinder has the greater volume?
Cylinder A: radius 4 cm, height
16 cm
Cylinder B: radius 16 cm, height 4 cm
Can you find the answer without using a
calculator?
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Problem
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19.
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The base of a rectangular prism is square and the volume of the prism is 72
m3.
What are the possible whole number dimensions of the prism in metres?
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20.
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Gift boxes are made in the shape of right rectangular prisms of dimensions 6 cm
by 5 cm by 4 cm. a) What is the volume
of each gift box?
b) How many gift boxes can be packed in a larger
box that measures 18 cm by 15 cm by 16 cm?
Explain your strategy.
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21.
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Calculate the volume of this building. Explain your answer. 
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22.
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This wooden object has the shape of a triangular prism with a square hole
drilled across it. Each square hole has side length 4 cm. The length of the triangular prism is
16 cm. The base of the triangular prism is an isosceles triangle with each leg 7 cm. What is
the volume of the wooden object? Show your work. 
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23.
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A cylinder has radius 4 cm and height 7 cm. A cube has edge length 8 cm.
Would either solid fit inside the other? Explain.
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24.
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The height and diameter of a cylinder have the same measure as an edge of a
cube.
Which solid has the greater volume? Explain.
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