Answer:
The length of one edge of the cube is 6 centimeters.
Step-by-step explanation:
The lateral surface area of a cube is

where a is the length of one edge of a cube.
It is given that the lateral surface area of the square is 144 square centimeters.
Substitute A=144 in the above formula.

Divide both sides by 4.

Taking square root both the sides.


Therefore the length of one edge of the cube is 6 centimeters.