The dimensions of a cuboid are in ratio 1:2:3 and it's total surface area is 88m^. Find the dimensions.
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let length be X m
let breadth be 2X m
let height be 3X m
Surface Area of Cuboid = 2(lb+bh+lh)
88 = 2(X*2X+2X*3X+X*3X)
88 = 2(2X^2+6X^2+3X^2)
88 =2(11X^2)
88 =22X^2
88/22=X^2
4=X^2
under root 4=X
X = 2
Length=X=2 m
Breadth=2X=4 m
Height=3X=6m
let breadth be 2X m
let height be 3X m
Surface Area of Cuboid = 2(lb+bh+lh)
88 = 2(X*2X+2X*3X+X*3X)
88 = 2(2X^2+6X^2+3X^2)
88 =2(11X^2)
88 =22X^2
88/22=X^2
4=X^2
under root 4=X
X = 2
Length=X=2 m
Breadth=2X=4 m
Height=3X=6m
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