Question

A solid cube is cut into two cuboid of equal volume. Find the ratio between the surface area of the cube and the surface area of one of the cuboids

Answer 1

Answer:

Step-by-step explanation:

if cube of side s is cut into two cuboids of equal volumes

then the dimensions of cuboid are

length = s

breadth = s

height = s/2

total surface area of given cuboid = 2(lb+bh+hl)

                                                          = 2(s²+s²/2+s²/2)

                                                          = 4s²

total surface area of cube = 6s²

ratio = 4s²/6s² = 2:3

Hope it helps.