Multiple Choice Identify the
choice that best completes the statement or answers the question.
|
|
1.
|
Find the volume of this rectangular prism.
a. | 160 cm3 | b. | 138 cm3 | c. | 336 cm3 | d. | 320
cm3 |
|
|
2.
|
Find the volume of this rectangular prism.
a. | 412 m3 | b. | 100 m3 | c. | 206 m3 | d. | 560
m3 |
|
|
3.
|
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 |
|
|
4.
|
Find the volume of this triangular prism.
a. | 12 m3 | b. | 3 m3 | c. | 24 m3 | d. | 4
m3 |
|
|
5.
|
The area of the base of a right triangular prism is 9 cm2 and the
length of the prism is 10 cm. Calculate the volume of the prism.
a. | 45 cm3 | b. | 90 cm3 | c. | 180 cm3 | d. | 19
cm3 |
|
|
6.
|
The area of the base of a right triangular prism is 14.5 cm2 and the
length of the prism is 6 cm. Calculate the volume of the prism.
a. | 87 cm3 | b. | 43.5 cm3 | c. | 174 cm3 | d. | 20.5
cm3 |
|
|
7.
|
Find the volume of this cylinder. Leave in your answer.
|
|
8.
|
Find the volume of this cylinder. Leave in your answer.
|
|
9.
|
The height of a cylindrical oil storage tank is 6 m and it has diameter 22 m.
If the tank is full, how much oil does it contain? Round your answer to the nearest kL. (1 kL = 1
m3)
a. | 207 kL | b. | 415 kL | c. | 2281 kL | d. | 908
kL |
|
Short Answer
|
|
10.
|
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.
|
|
11.
|
A rectangular aquarium contains 7200 cm3 of water. The length of
the aquarium is 24 cm and its width is 25 cm. What is the depth of water in the aquarium?
|
|
12.
|
The length of one edge of a cube is 5 cm. a) Find the volume of the
cube. b) Find the new volume if the edge length is multiplied by
2. c) What is the ratio of the new volume to the volume in part
a?
|
|
13.
|
Calculate the volume of this triangular prism.
|
|
14.
|
An equilateral triangular prism has a volume of 84 cm3. The length of
the prism is 12 cm. Find the base area of the prism.
|
|
15.
|
a) Find the volume
of each right triangular prism. b) Which prism has the greater
volume?
|
|
16.
|
The radius of a cylinder is 18 cm and its height is 6 cm. Calculate the
volume of the cylinder, to the nearest tenth. Use .
|
|
17.
|
The diameter of a cylinder is 8 cm and its height is 14 cm. Calculate the
volume of the cylinder to the nearest cubic centimetre. Use .
|
|
18.
|
The volume of a right cylinder is 400 cm3. What is the new volume
if the radius is halved and the height is halved?
|
Problem
|
|
19.
|
A right rectangular prism has a volume of 28 cm3. What are the
possible whole number dimensions of the prism in centimetres?
|
|
20.
|
The volume of a piece of metal is 24 cm 3. It is melted and cast into
the shape of a rectangular prism. a)
What are the possible whole number dimensions of the metallic prism in
centimetres? b) The metallic prism is plated with a thin layer of
gold. What are the dimensions of the prism that requires the least amount of gold?
|
|
21.
|
A triangular prism of volume 72 cm3 has a right triangular base.
The 2 legs of the base triangle measure 2 cm and 6 cm. What is the length of the prism? Show
your work.
|
|
22.
|
This diagram shows a net of a triangular prism. Find the volume of the prism.
Show your work.
|
|
23.
|
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.
|
|
24.
|
This diagram shows 3 balls closed packed in a cylindrical container. The
diameter of each ball is 13 cm. What is the volume of the container? Explain your answer.
|