Question

the length, breadth and height of cuboid are in the ratio 5:3:2.what will be the dimensions
of the cuboid if it's surface area is 558 cm2

Answer 1

Let the Length be 5x, Breadth be 3x and the Height be 2x.

Then,
Surface Area of cuboid will be= 2(5x)(3x)+2(3x)(2x)+2(2x)(5x)= 30$x^{2}$+12$x^{2}$+20$x^{2}$= 62$x^{2}$

Therefore,
62$x^{2}$=558
$x^{2}$=558/62
$x^{2}$= 9
x=3

Thus,
Length= 5x= 5(3)= 15cm
Breadth= 3x= 3(3)= 9cm
Height= 2x= 2(3)= 6cm