Question

A Cuboid of dimensions 5cm ,3cm and 2cm

Answer 1

Volume of cuboid= l*b*h
= 5*3*2
=30 cm^3

total surface area= 2(lb+bh+hl)
= 2(15+6+10)
=2(31)
=62cm^2

Answer 2

Hey there!
I guess your question is a cuboid of dimensions 5, 3 , 2 cm is melted to form a cube, Find the side of largest cube so formed.

While a solid object in transformed to the other , it volume remains unchanged.

Volume = 5 * 3 * 2 = 30 cm² .

Volume of largest cube is less than or equal to Volume of cuboid.

Let the side of cube = a

V(cube) ≤ V(cuboid)
a³ ≤ 30

a = { 3 , 2 , 1 ... -∞ }

As we want the side of largest cube, 3 is the largest possible real value.

Therefore, Side of required cube = 3 cm.