Question

the lateral surface area of a cuboid is 300 centimetre square the Length breadth and height are in the ratio 4 is to 2 is to 1 find the Length breadth and height of the cubiod

Answer 1

4x:2x:x
l:b:h
LSA of cuboid =2h(l+b)
300=2x(4x+2x)
300=2x(6x)
$300 = 12x {}^{2}$
$x = 12\sqrt{2}$
$l = 4x = 4 \times 12 \sqrt{2 } = 48 \sqrt{2 } \\ b = 2x = \times 12 \sqrt{2 } = 24 \sqrt{2} \\ h = x = 2 \sqrt{2}$