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2 D Volume of a Cuboid Remember: the area of a shape is a 2 measure of the 1 cm surface/space 1 cm contained within its perimeter. Me The volume of a shape is a measure 1 cm 3 of the space 1 cm contained within its 1 cm faces/boundary. Units of area Units of volume mm 2 mm 3 c tri Front face cm 2 km 2 inches 2 e p Im 3 D 2 l ria feet yards 2 miles 2 4 cm 20 cm 2 5 cm cm 3 Me tri c km 3 inches 3 feet 3 Impe ria l yards 3 miles 3

2 D Remember: the area of a shape is a 2 measure of the 1 cm surface/space 1 cm contained within its perimeter. Me The volume of a shape is a measure 1 cm 3 of the space 1 cm contained within its 1 cm faces/boundary. Units of area Units of volume mm 2 mm 3 cm 2 cm 3 c tri m 2 km 2 4 cm 20 cm 33 40 60 cm cm 3 inches 2 e p Im 3 D Volume of a Cuboid 2 l ria feet yards 2 miles 2 5 cm m 3 Me tri c km 3 3 cm Volume = 4 cm x 5 cm x 3 cm = 60 cm 3 inches 3 feet 3 Impe ria l yards 3 miles 3

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

Volume of a Cuboid Find the volume of the following cuboids. Diagrams not to scale. 1 4 m 2 m 8 m Volume = 2 x 8 x 4 = 64 m 3 2 3 5 cm 2 cm 3 cm Volume = 2 x 3 x 5 = 30 cm 3 5 cm Volume = 5 x 5 = 125 cm 3

Volume of a Cuboid Find the volume of the following cuboids Diagrams not to scale. (to 1 dp) 1 5 mm 2. 3 mm 9. 6 mm 2 Volume = 2. 3 x 9. 6 x 5 = 110. 4 mm 3 3 1. 3 cm 3. 1 cm 8. 1 cm 3. 1 cm 12 cm Volume = 1. 3 x 12 x 8. 1 = 126. 4 cm 3 Volume = 3. 1 x 3. 1 = 29. 8 cm 3

Volume of Objects Volume = 3 cm x 13 cm x 21 cm = 819 cm 3 6 cm Volume = 63 = 216 cm 3 3 cm 21 cm 13 cm 1. 1 m 1. 3 m 1. 8 m Volume = 1. 3 m x 1. 8 m x 1. 1 m = 2. 574 m 3

Volume of Compound Shapes Volume = 5 x 2 x 8= 80 cm 3 8 cm 5 cm 8 cm Not to scale 512 80 cm 3 288 cm 3 8 cm Volume = 83 = 512 cm 3 cm 12 cm Volume = 12 x 3 x 8= 288 cm 3 Volume = 512 + 288 + 80 = 880 cm 3