Page 176 - MAT KS3 Y8 Cambridge CheckPoint

17.5 The volumes and surface areas of cuboids

3 Work out the volume of each cuboid.
a 12 mm b c 28 mm
6 mm
5 cm 3 m
9 cm 50 cm 3.5 cm
4.2 m
4 Work out the surface areas of the cuboids in question 3.

5 The table shows the volume and dimensions of some cuboids.
Length Width Height Volume

a 4 cm 8 cm 7 cm
b 10 cm 5 cm 300 cm 3
c 12 mm 6 mm 648 mm 3
d 2 m 6 m 96 m 3
e 4.2 cm 3.5 cm 14.7 cm 3
f 3.6 cm 5 mm 2160 mm 3

Copy the table and fill in the missing values.
6 Here are three cuboids A, B and C.

A B 1 cm C 1.8 cm

2.8 cm 4.4 cm 3.4 cm
3.1 cm 8 cm
6.8 cm
4 cm

Here are four volume cards.
i ii iii iv
48.96 cm 2 34.72 cm 2 24.24 cm 2 29.92 cm 2

a Using only estimation match each cuboid to its volume card.
b Use a calculator to check that you have matched the cuboids and the volume cards correctly.
c Sketch a cuboid that has a volume equal to the volume on the card you haven’t matched.

7 The diagram shows a cuboid.
The length of the cuboid is 14 cm.
The width of the cuboid is 8 cm.
3
The volume of the cuboid is 672 cm . 8 cm
Work out the surface area of the cuboid. 14 cm
8 The diagram shows a cuboid.
The height of the cuboid is 45 mm. 45 mm
The end face of the cuboid is a square.
3
The volume of the cuboid is 162 cm .
square
Work out the surface area of the cuboid.

174 17 Area, perimeter and volume
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