mensuration 3 (volume of a cuboid)
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57 2
1
64 3210
188
4
9
24
146
16Stand SW 100
Units of areamm2
cm2
m2
km2
inches2
feet2
yards2
miles2
Metric
Imperial
1 cm2
1 cm1 cm
Units of volume
mm3
cm3
m3
km3
inches3
feet3
yards3
miles3
Metric
Imperial
1 cm1
cm
1 cm
1 cm3
5 cm
4 cm
Remember: the area of a shape is a measure of the surface/space contained within its perimeter.
2DThe volume of a shape is a measure of the space contained within its faces/boundary.
3DVolume of a Cuboid
Front face20 cm2
Volume
3cm
Units of areamm2
cm2
m2
km2
inches2
feet2
yards2
miles2
Metric
Imperial
1 cm2
1 cm1 cm
Units of volume
mm3
cm3
m3
km3
inches3
feet3
yards3
miles3
Metric
Imperial
1 cm1
cm
1 cm
1 cm3
5 cm
4 cm 60 cm3
Volume = 4 cm x 5 cm x 3 cm = 60 cm3
20 cm340
cm3
Volume of a CuboidRemember: the
area of a shape is a measure of the surface/space contained within its perimeter.
2DThe volume of a shape is a measure of the space contained within its faces/boundary.
3D
2 cm
3 mm3 mm
4 mm
7 cm6 cm
9 ft
4 ft6 ft
Volume of Cuboids
Volume = 4 mm x 3 mm x 3 mm = 36 mm3
Volume = 2 cm x 7 cm x 6 cm = 84 cm3
36 mm3
36 mm3
84 cm3 84 cm3
Volume = 9 ft x 4 ft x 6 ft = 216 ft3
216 ft3
216 ft3
Volume l x w x h
? yards3
Volume = 2 x 8 x 4 = 64 m3
Volume = 2 x 3 x 5 = 30 cm3
Volume = 5 x 5 x 5 = 125 cm3
Volume of a Cuboid
8 m
4 m2 m
Find the volume of the following cuboids.
Diagrams not to scale.
3 cm
2 cm 5 cm 5 cm
5 cm
5 cm
1
23
Volume of a Cuboid
9.6 mm
5 mm2.3
mm
Find the volume of the following cuboids (to 1 dp)
Diagrams not to scale.
12 cm
8.1 cm
1.3 cm
3.1 cm
1
2 3
3.1 cm
3.1 cm
Volume = 2.3 x 9.6 x 5 = 110.4 mm3
Volume = 1.3 x 12 x 8.1 = 126.4 cm3
Volume = 3.1 x 3.1 x 3.1 = 29.8 cm3
Volume of Objects
21 cm13
cm
3 cm
6 cm6 cm 6 cm
1.8 m
1.1 m
1.3 m
Volume = 3 cm x 13 cm x 21 cm = 819 cm3
Volume = 63 = 216 cm3
Volume = 1.3 m x 1.8 m x 1.1m = 2.574m3
8 cm
8 cm
8 cm
12 cm
5 cm 2 cm
3 cm
Not to scale
Volume of Compound Shapes
512 cm3
288 cm3
80 cm3
Volume = 512 + 288 + 80 = 880 cm3
Volume = 83 = 512 cm3
Volume = 12 x 3 x 8= 288 cm3
Volume = 5 x 2 x 8= 80 cm3
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Whiteboardmaths.comWhiteboardmaths.com
© 2004 - 2008 All rights reserved
57 2
1
64 3210
188
4
9
24
146
16Stand SW 100