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Example 1<strong>Volume</strong> of a PrismDetermine the volume of concrete needed to construct the rampshown, to the nearest tenth of a cubic metre.1.2 m2.5 m45.0 cmLiteracyConnectThe base of a prismrefers to one of thetwo congruent,parallel polygonsides. Dependingon the orientationof the prism, thebases can be on thetop and bottom,the front and back,or the left and rightsides.SolutionThe ramp is in the shape of a triangular-based prism.Determine the area of the triangular base.45.0 cm2.5 mA = _ 1 (b × h)2= _ 1 (2.5 × 0.45)45 cm = 0.45 m2= 0.5625The base area of the prism is 0.5625 m 2 . Multiply this value by thedepth of the prism to determine its volume.1.2 m45.0 cm0.5625 m 2<strong>Volume</strong> = Base area × Depth= 0.5625 × 1.2= 0.675Approximately 0.7 m 3 of concrete is needed to construct the ramp.1.2 <strong>Volume</strong> • MHR 1901_FFCM12_CH1.indd 193/6/09 12:17:23 PM
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