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Math: Middle School: Grades 6, 7 and 8 Quiz - Shapes - Volume and Capacity (Questions)

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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.

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

[ ]	length + width + height
[ ]	length x width x height
[ ]	length x width²
[ ]	length x width³

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

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

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

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

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

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

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

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

[ ]	π r² x length
[ ]	π r³ x length
[ ]	r² x length
[ ]	r³ x length

10.

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

Math: Middle School: Grades 6, 7 and 8 Quiz - Shapes - Volume and Capacity (Answers)

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

[ ]	length + width + height
[x]	length x width x height
[ ]	length x width²
[ ]	length x width³

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

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
[x]	192 cm³
[ ]	219 cm³

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
[x]	750 cm³
[ ]	1,000 cm³

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

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?

[x]	3 cm
[ ]	4 cm
[ ]	6 cm
[ ]	7 cm

72 cm = 6 cm x 4 cm x 3 cm (V = l x w x h)

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
[x]	6 cm
[ ]	8 cm

The volume of a cube is 125 cm³. What is the length of each edge of the cube?

[ ]	2.5 cm
[x]	5 cm
[ ]	12.5 cm
[ ]	25 cm

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
[x]	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

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
[x]	100 liters
[ ]	500 liters
[ ]	1,000 liters

1 liter = 1,000 cm³. Each of the smaller boxes has a volume of 1 liter

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

[x]	π r² x length
[ ]	π r³ x length
[ ]	r² x length
[ ]	r³ x length

10.

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
[x]	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