Question

A solid cube is cut into 27 small cubes of equal volume. Find the ratio of the surface area of the given cube and that of the small cube.

Answer 1

Edge length of larger cube = A
Edge length of smaller cube = a

Total volume will remain constant

Volume of larger cube = 27 × Volume of smaller cube
A³ = 27 × a³
Cube root on both sides
A = 3 a
A : a = 3 : 1

Ratio of surface area
= 6 A² : 6 a²
= (A : a)²
= (3 : 1)²
= 9 : 1

∴ Ratio of their surface area is 9 : 1

Answer 2

Answer:

the answer is 9:1.....