Calculate the lateral area of the cube if the perimeter of the base is 12 units

The lateral area of the cube is 36 sq units

Explanation:

Given:

Perimeter of the base of the cube = 12 units

Base of the cube has 4 sides

So, the perimeter of the base = 4a

where,

a is the length of one side

Thus,

4a = 12 units

a = 3 units

Lateral surface area of the cube = 4a²

A = 4 X (3) ²

A = 36 sq units

Therefore, the lateral area of the cube is 36 sq units