Question

The dimension of a cuboid are in the ratio of 1:2:3and its total surface area is 88m find the dimension

Answer 1

Heya!

Let its dimension be x.
Then, length = x
Breadth=2x
Height=3x

Now,

TSA of cuboid = 2 (lb+bh+hl)

=)88 = 2 ( x*2x + 2x*3x + 3x*x )

=) 88 = 2 (2x^2+6x^2+3x^2)

=) 88 = 2 (11x^2)

=) 88 = 22x^2

=) x^2 = 88/22

=) x = root 4

=) x =2

Then,

length = x = 2 m
breadth = 2x =4 m
height= 3x =6 m

Hope it helps u.