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

# Level 5-6 Shapes - Volume and Capacity

In KS3 Maths you'll spend a lot of time looking at shapes and their properties, 2-Dimensional shapes, polygons, have areas which can be worked out. But 3-Dimensional shapes, polyhedrons, have another property - their volume or capacity.

In a similar way to how 2-D shapes cover an area, 3-D shapes contain a volume. This is their capacity, or how much three-dimensional space the 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. Think of a 2 litre bottle of water. It contains a volume or capacity of 2 litres or 2,000cm3.

So, the volume of a 3-D shape is how much space it takes to fill it. Get your fill of volume and capacity with the following quiz. Take your time and be sure to consider your answers before choosing which ones are correct. Good luck!

1.
A tank has a length of 50 cm, a width of 60 cm and a height of 80 cm. How many litres of water can it hold?
120 litres
180 litres
240 litres
300 litres
50 cm x 60 cm x 80 cm = 240,000 cm3. Then divide by 1,000 as 1 litre = 1,000 cm3
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
8 x 4 x 6 = 192
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 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)
5.
An oil drum (cylinder) measures 88 cm tall and has a diameter of 60 cm. Approximately how many litres can it hold?
49 litres
149 litres
199 litres
249 litres
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 litres
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
The cube root of 125 = 5 because 5 x 5 x 5 = 125
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
10 x 3 x 4 = 120 so 5 x 4 x ? = 120
5 x 4 = 20 so 20 x ? = 120
120 ÷ 20 = 6
8.
The volume of a cylinder is calculated using .......
π r2 x length
π r3 x length
r2 x length
r3 x length
Work out the are of the circle on a cylinder using π r2 then times by the length of the cylinder
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.
An empty box can hold 100 smaller boxes each measuring 10 cm x 10 cm x 10 cm. How many litres of capacity does the empty box have?
10 litres
100 litres
500 litres
1,000 litres
1 litre = 1,000 cm3. Each of the smaller boxes has a volume of 1 litre
Author:  Frank Evans