58.9k views
5 votes
Calculate the lateral area of the cube if the perimeter of the base is 12 units

User Lxgeek
by
5.6k points

1 Answer

5 votes

The lateral area of the cube is 36 sq units

Step-by-step 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

User Wegry
by
6.6k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.