Question

The dimensions of a cuboid are in the ratio 3:2:1. If the lateral surface area of the cuboid is

360cm2

, find its total surface area.​

Answer 1

Dimensions of cuboid = 3x, 2x, 1x

lateral surface area = 2h ( l + b )

so , 2 × x ( 3x + 2x ) = 360

=) 2x × 5x = 360

=) 10x = 360

thus , x = 36

and , l = 108 , b = 72 , h = 36

T.S.A of cuboid = 2( lb × bh × hl )

so T.S.A = 156728328192 cm²