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Whiteboardmaths.com Stand SW 100 4 10 24 16 32 6 18 8 14 9 64 7 2 1 5 © 2004 - 2008 All rights reserved Click once only to start In addition to the demos/free presentations in this area there are at least 8 complete (and FREE) presentations waiting for download under the My Account button. Simply register to download immediately. 2D Volume of a Cuboid Remember: the area of a shape is a 2 measure of the 1 cm 1 cm surface/space 1 cm contained within its perimeter. 3D The volume of a shape is a measure 1 cm 1 cm3 of the space 1 cm contained within its 1 cm faces/boundary. Units of area Units of volume mm2 mm3 Front face cm2 m2 km2 inches2 feet2 yards2 miles2 4 cm 20 cm2 5 cm cm3 m3 km3 inches3 feet3 yards3 miles3 2D 3D Volume Volume of a Cuboid Remember: the area of a shape is a 2 measure of the 1 cm 1 cm surface/space 1 cm contained within its perimeter. The volume of a shape is a measure 1 cm 1 cm3 of the space 1 cm contained within its 1 cm faces/boundary. Units of area Units of volume mm2 mm3 cm2 cm3 m2 km2 4 cm 20 cm33 40 60 cm cm3 inches2 feet2 yards2 miles2 5 cm m3 km3 3cm Volume = 4 cm x 5 cm x 3 cm = 60 cm3 inches3 feet3 yards3 miles3 Volume of Cuboids Volume = 4 mm x 3 mm x 3 mm = 36 mm3 4 mm 36 mm3 3 mm 3 mm 2 cm 36 mm3 Volume l x w x h Volume = 2 cm x 7 cm x 6 cm = 84 cm3 84 cm3 84 cm3 6 cm 7 cm Volume = 9 ft x 4 ft x 6 ft = 216 ft3 216 ft3 4 ft ? yards3 9 ft 216 ft3 6 ft Volume of a Cuboid Find the volume of the following cuboids. Diagrams not to scale. 1 4m 2m 8m Volume = 2 x 8 x 4 = 64 m3 2 3 5 cm 5 cm 2 cm 3 cm Volume = 2 x 3 x 5 = 30 cm3 5 cm 5 cm Volume = 5 x 5 x 5 = 125 cm3 Volume of a Cuboid Diagrams not to scale. Find the volume of the following cuboids (to 1 dp) 1 5 mm 2.3 mm 9.6 mm 2 Volume = 2.3 x 9.6 x 5 = 110.4 mm3 3 1.3 cm 3.1 cm 3.1 cm 8.1 cm 3.1 cm 12 cm 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 Volume = 3 cm x 13 cm x 21 cm = 819 cm3 6 cm 6 cm 6 cm Volume = 63 = 216 cm3 3 cm 21 cm 13 cm 1.1 m 1.3 m 1.8 m Volume = 1.3 m x 1.8 m x 1.1m = 2.574m3 Volume of Compound Shapes Volume = 5 x 2 x 8= 80 cm3 8 cm 5 cm 8 cm Not to scale 512 80 cm3 cm3 288 cm3 8 cm Volume = 83 = 512 cm3 2 cm 3 cm 12 cm Volume = 12 x 3 x 8= 288 cm3 Volume = 512 + 288 + 80 = 880 cm3 Whiteboardmaths.com Stand SW 100 4 10 24 16 32 6 18 8 14 9 64 7 2 1 5 © 2004 - 2008 All rights reserved Don’t forget to pick up your 8 free presentations.