Question

the volume of a cuboid is 6400 cu cm its length is 32 cm, and breadth and height are in the ratio 2 : 1. find its breadth and height

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Answer 1

Volume = 6400 cm^3
• length = l = 32 cm
• breadth : height = b : h = 2 : 1

To remove ratio we’ll multiply them by constant term x

Thus,
b = 2x
h = x

Now using equation that is used to find volume

V = lbh
6400 = ( 32 ) ( 2x ) ( x )

Simplifying this we get x = 10

Now ,
b = ( 2 ) ( 10 ) = 20 cm
h = ( 1 ) ( 10 ) = 10 cm