Question

A solid cube is cut into 2 cuboids of equal volumes. find the ratio of the total surface area of the given?

Answer 1

Let the side of cube = x
Then TSA of cube = 6x²

When the cube is cut into two cuboids of equal volumes then
length = x/2
width = x
height=h
TSA of cuboid = 2(lb+bh+hl) = $2(\frac{x^2}{2}+x^2+\frac{x^2}{2})=2\left(2x^2\right)=4x^2$
TSA of cuboid : TSA of cube = 4x²:6x²= 2:3