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  3. Math: Middle School: Grades 6, 7 and 8
  4. Shapes - Volume and Capacity
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Shapes - Volume and Capacity
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.
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)
2.
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
3.
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)
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.
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
6.
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
7.
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
8.
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
9.
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)
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
Math: Middle School: Grades 6, 7 and 8 Play this quiz again

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