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.