Question

dimensions of cuboid is in the ratio of 1:2:3 and its total surface area is 88 sq metres. what are the dimensions ?

Answer 1

Let the dimensions of cuboid be x, 2x and 3x
ATQ
TSA Of Cuboid=88 Sq. Metres
2(lb+bh+hl)=88
2(x*2x+2x*3x+3x*x)=88
$2( 2{x}^{2} + 6 {x}^{2} + 3 {x}^{2}) = 88 \\ 2(11 {x}^{2} ) = 88 \\ 22 {x}^{2} = 88 \\ {x }^{2} = 88 \div 22 \\ {x}^{2} = 4 \\ x = \sqrt{4 } \\ x = 2$
Length=x=2m
Breadth=2x=2*2=4m
Height=3x=3*2=6m

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