Question

A cuboid has a volume of 480cm^3.The ratio of the length to width to height is 5:4:3. Find the dimensions of cuboid.

Answer 1

let the measures of the cuboid be=5x,4x&3x
volume of the cuboid=lbh=480   
                             5x*4x*3x=480
                                 60x^3=480
                                     x^3=8
                                    x=2
hence, the length=5x=5(2)=10 cm
                  breadth=4x=4(2)=8 cm
                  hieght=3x=3(2)=6 cm
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