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Math 8 LG 6 Practice Quiz #3



Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 

Find the volume of this rectangular prism.
mc001-1.jpg
a.
160 cm3
b.
138 cm3
c.
336 cm3
d.
320 cm3
 

 2. 

Find the volume of this rectangular prism.
mc002-1.jpg
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.
mc004-1.jpg
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 mc007-1.jpg in your answer. 
mc007-2.jpg
a.
mc007-3.jpg mm3
b.
mc007-4.jpg mm3
c.
mc007-5.jpg mm3
d.
mc007-6.jpg mm3
 

 8. 

Find the volume of this cylinder. Leave mc008-1.jpg in your answer. 
mc008-2.jpg
a.
mc008-3.jpg m3
b.
mc008-4.jpg m3
c.
mc008-5.jpg m3
d.
mc008-6.jpg m3
 

 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.
sa013-1.jpg
 

 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?
sa015-1.jpg
 

 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 sa016-1.jpg.
 

 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 sa017-1.jpg.
 

 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 cm3. 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.
pr022-1.jpg
 

 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.
pr024-1.jpg
 



 
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