Example 12 Work out the volume and capacity of this shape.
2m 3m
Give your answer in litres. The shape is made up of two cuboids with measurements 7 m by 3 m by 2 m and 2 m by 3 m by 6 m.
6m
V = lwh so the volume of the shape is given by:
8m
V = (7 × 3 × 2) + (2 × 3 × 6) = 42 + 36 = 78 m3
7m
As 1 m3 = 1000 litres, the capacity of the shape = 78 × 1000 litres. Capacity = 78 000 litres
Exercise 3D 1
Work out:
i
the surface area
a
ii
the volume of each cuboid. 3 cm
b 5 cm
2 cm
6 cm
12 cm
10 cm
c
d
5m
2 mm 3 mm
4m
8 mm
15 m
2
Work out: i
3
ii
1 cm
the volume of this unit cube.
the surface area ii 2 cm b 5 cm
the volume of the cubes with these edge lengths. c 10 cm d 8m
The diagram shows the dimensions of a swimming pool. a
Work out the volume of the pool, giving the answer in cubic metres. b How many litres of water does the pool hold when it is full?
66
1 cm
Work out: i a
4
the surface area
1 cm
4m
6m 1.5 m
3 Perimeter, area and volume
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