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How many things can you think of that are cube-shaped?

# Shapes - Volume and Capacity

This Math quiz is called 'Shapes - Volume and Capacity' and it has been written by teachers to help you if you are studying the subject at middle school. Playing educational quizzes is a fabulous way to learn if you are in the 6th, 7th or 8th grade - aged 11 to 14.

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In Maths, volume is how much three-dimensional space a shape occupies or contains. The volume of a container is generally understood to be the capacity such as the amount of fluid that the container could hold. Get your fill with the following quiz.

1.
What is the volume of a cuboid with a length of 8 cm, a width of 4 cm and a height of 6 cm?
180 cm3
18 cm3
192 cm3
219 cm3
2.
A cuboid has a length of 10 cm, a width of 5 cm and a height of 15 cm. What is its volume?
250 cm3
500 cm3
750 cm3
1,000 cm3
1,000 cm = 10 cm x 5 cm x 15 cm (V = l x w x h)
3.
Two cuboids have the same volume. The first measures 10 cm x 3 cm x 4 cm. The second measures 5 cm x 4 cm x what?
2 cm
4 cm
6 cm
8 cm
4.
A tank has a length of 50 cm, a width of 60 cm and a height of 80 cm. How many liters of water can it hold?
120 liters
180 liters
240 liters
300 liters
50 cm x 60 cm x 80 cm = 240,000 cm3. Then divide by 1,000 as 1 liter = 1,000 cm3
5.
The volume of a cube is 125 cm3. What is the length of each edge of the cube?
2.5 cm
5 cm
12.5 cm
25 cm
6.
An empty box can hold 100 smaller boxes each measuring 10 cm x 10 cm x 10 cm. How many liters of capacity does the empty box have?
10 liters
100 liters
500 liters
1,000 liters
1 liter = 1,000 cm3. Each of the smaller boxes has a volume of 1 liter
7.
A cuboid has a volume of 72 cm3. Its length is 6 cm and its width is 4 cm. What is the height of the cuboid?
3 cm
4 cm
6 cm
7 cm
72 cm = 6 cm x 4 cm x 3 cm (V = l x w x h)
8.
The volume of a cuboid is calculated using .......
length + width + height
length x width x height
length x width2
length x width3
V = l x w x h (V = lwh)
9.
An oil drum (cylinder) measures 88 cm tall and has a diameter of 60 cm. Approximately how many liters can it hold?
49 liters
149 liters
199 liters
249 liters
60 cm diameter = 30 cm radius. 302 = 900. 900 x 3.142 (π) = 2,827.8 Multiply this by 88 (height or length) = 248,846 cm3 or approximately 249 liters
10.
The volume of a cylinder is calculated using .......
π r2 x length
π r3 x length
r2 x length
r3 x length
Author:  Frank Evans