Question

A cuboid is 25cm long, 15cm board and 9cm high. Find the whole surface of a cube having its volume equal to that of the cuboid.

Answer 1

Given that:
Length of the cuboid = 25cm
Breadth of the cuboid = 15cm
Height of the cuboid = 9cm   &
Volume of cube = volume of cuboid
We know that volume of Cuboid
=  l x b x h
= 25 x 15 x 9
= 375cm³
∴ Volume of cube = 3375cm³
But we know that volume of cube = l³
i.e.,
l³ = 3375
l = `root(3)(3375)`
= 15cm
∴ Side (l) = 15cm
Now,
T.S.A of cube 
= 6l²
= 6 x 15 x 15
= 1350cm².