Find the ratio of the total surface area and lateral surface area of a cube.

To do:

We have to find the ratio of the total surface area and lateral surface area of a cube.

Solution:

Let $s$ be the edge of the cube.

This implies,

The total surface area of the cube $= 6s^2$

The lateral surface area of the cube $= 4s^2$

Therefore,

The ratio between the total surface area and the lateral surface area of the cube $= 6s^2 : 4s^2$

$= 3 : 2$.