The document discusses units of area and volume measurement in both metric and imperial systems. It provides examples of calculating the volume of cuboids using the formula of length x width x height. Several practice problems are included for finding the volumes of various cuboids and compound shapes using the appropriate formulas and units.

1. Front face 20 cm 2 Units of area mm 2 cm 2 m 2 km 2 inches 2 feet 2 yards 2 miles 2 Metric Imperial 1 cm 2 1 cm 1 cm Units of volume mm 3 cm 3 m 3 km 3 inches 3 feet 3 yards 3 miles 3 Metric Imperial 1 cm 1 cm 1 cm 1 cm 3 5 cm 4 cm Remember: the area of a shape is a measure of the surface/space contained within its perimeter . 2D The volume of a shape is a measure of the space contained within its faces/boundary . 3D Volume of a Cuboid

2. 60 cm 3 Volume = 4 cm x 5 cm x 3 cm = 60 cm 3 20 cm 3 40 cm 3 Volume of a Cuboid Volume 3cm Units of area mm 2 cm 2 m 2 km 2 inches 2 feet 2 yards 2 miles 2 Metric Imperial 1 cm 2 1 cm 1 cm Units of volume mm 3 cm 3 m 3 km 3 inches 3 feet 3 yards 3 miles 3 Metric Imperial 1 cm 1 cm 1 cm 1 cm 3 5 cm 4 cm Remember: the area of a shape is a measure of the surface/space contained within its perimeter . 2D The volume of a shape is a measure of the space contained within its faces/boundary . 3D

3. Volume = 4 mm x 3 mm x 3 mm = 36 mm 3 Volume = 2 cm x 7 cm x 6 cm = 84 cm 3 36 mm 3 36 mm 3 84 cm 3 84 cm 3 Volume = 9 ft x 4 ft x 6 ft = 216 ft 3 216 ft 3 216 ft 3 Volume l x w x h ? yards 3 2 cm 3 mm 3 mm 4 mm 7 cm 6 cm 9 ft 4 ft 6 ft Volume of Cuboids

4. Volume = 2 x 8 x 4 = 64 m 3 Volume = 2 x 3 x 5 = 30 cm 3 Volume = 5 x 5 x 5 = 125 cm 3 Volume of a Cuboid 8 m 4 m 2 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 2 3

5. Volume = 2.3 x 9.6 x 5 = 110.4 mm 3 Volume = 1.3 x 12 x 8.1 = 126.4 cm 3 Volume = 3.1 x 3.1 x 3.1 = 29.8 cm 3 Volume of a Cuboid 9.6 mm 5 mm 2.3 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

6. Volume = 3 cm x 13 cm x 21 cm = 819 cm 3 Volume = 6 3 = 216 cm 3 Volume = 1.3 m x 1.8 m x 1.1m = 2.574m 3 Volume of Objects 21 cm 13 cm 3 cm 6 cm 6 cm 6 cm 1.8 m 1.1 m 1.3 m

7. Volume of Compound Shapes 512 cm 3 288 cm 3 80 cm 3 Volume = 512 + 288 + 80 = 880 cm 3 Volume = 8 3 = 512 cm 3 Volume = 12 x 3 x 8= 288 cm 3 Volume = 5 x 2 x 8= 80 cm 3 8 cm 8 cm 8 cm 12 cm 5 cm 2 cm 3 cm Not to scale