Question

The length the breadth and height of a room are inthe ratio 3:2:1

Answer 1

let the height Length breadth be x
3x, 2x, 1x
volume will be lbh
3x into 2x into 1X
6x cube

total surface area will be 2 (lb+lh+bh)
(6 x + 1 x + 2 x) *2
18 x square

lateral surface area will be 2( l + b) * h
( 8x) *2 *1x
16 x square

diagonal will be
$\sqrt{6x { }^{2} + 2x {}^{2} + 1x {}^{2} }$
$\sqrt{36x + 4x + 1x}$
$\sqrt{41x}$