Question

The ratio of the volume of two cubes is 216 to 64. What is the ratio of their surface/

Answer 1

The volume of a cube is V=s^3, so s=V^(1/3).

The area of a cube is A=6s^2, using s found above we have:

A=6(V^(2/3))

Let V and S be the volume and area of the larger and v and s be the volume and area of the smaller cube.

A:a

6(V^(2/3)):6(v^(2/3))

V^(2/3):v^(2/3), we are given that V=216 and v=64 so

216^(2/3):64^(2/3)

36:16

9:4