*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.

The volume of a cube is 125 cm^{3}. What is the length of each edge of the cube?

2.5 cm

5 cm

12.5 cm

25 cm

2.

The volume of a cylinder is calculated using .......

π r^{2} x length

π r^{3} x length

r^{2} x length

r^{3} x length

3.

A cuboid has a length of 10 cm, a width of 5 cm and a height of 15 cm. What is its volume?

250 cm^{3}

500 cm^{3}

750 cm^{3}

1,000 cm^{3}

1,000 cm = 10 cm x 5 cm x 15 cm (V = l x w x h)

4.

The volume of a cuboid is calculated using .......

length + width + height

length x width x height

length x width^{2}

length x width^{3}

V = l x w x h (V = lwh)

5.

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. 30^{2} = 900. 900 x 3.142 (π) = 2,827.8 Multiply this by 88 (height or length) = 248,846 cm^{3} or approximately 249 liters

6.

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 cm^{3}

18 cm^{3}

192 cm^{3}

219 cm^{3}

7.

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

8.

A cuboid has a volume of 72 cm^{3}. 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)

9.

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 cm^{3}. Each of the smaller boxes has a volume of 1 liter

10.

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 cm^{3}. Then divide by 1,000 as 1 liter = 1,000 cm^{3}

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