Page 177 - Mathematics Coursebook

18.4 Calculating the volume of cuboids

2 Work out the volume of each of these cuboids.
a b Make sure you write the
8 mm correct units with your
answers.
2 m 3 mm
2 m
3 m 15 mm
3 This is part of Steph’s homework.

Question A cuboid has a length of 12 cm, a width of 9 cm and
a height of 35 mm.
What is the volume of the cuboid?
Solution Volume = 12 × 9 × 35
= 3780 cm 3

Steph has got the solution wrong.
Explain the mistake that Steph has made and work out the correct answer for her.
4 The table shows the length, width and height of four cuboids.

Length Width Height Volume

a 5 cm 12 mm 6 mm mm 3
b 12 cm 8 cm 4 mm cm 3
c 8 m 6 m 90 cm m 3
d 1.2 m 60 cm 25 cm cm 3

Copy and complete the table.
5 A metal cuboid has a length of 3.2 m, a width of 4.8 m and a height of 2.1 m.
a Work out the volume of the cuboid.
b Check your answer using estimation.

6 Alicia buys a fish tank.

The dimensions of the fish tank are shown in the diagram. 40 cm
Alicia fills the tank with water to 4 of the height of the tank.

5

What is the mass of the water in the fish tank? 35 cm
80 cm
I know that 1 cm of water has a mass of 1 gram.
3

Give your answer in kilograms.

176 18 Area, perimeter and volume