Question

The length breadth and height of a cuboid are in the ratio of 4:2:1 and total surface area is 1372 sq m.Find the dimensions of the cuboid

Answer 1

let dimensions be 4x , 2x and x
total surface area= 2( lb + bh+ lh)

$\: \: totl \: surface \: area \: = 8 {x}^{2} + 2 {x}^{2} + 4 {x}^{2}$
1372=14x square

x square = 98

$\sqrt{98}$
$= 7 \sqrt{2}$