If lateral surface area of a cube is 144 cm2, then find its volume.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 216 cm3.
Lateral surface area of a cube = 4(side)2
Let each side of the cube = a cm
So, 4a2 = 144
⇒ a2 = 144/4 = 36
⇒ a = √36 = 6 cm
Volume of cube = side3 = a3 = 63 = 216 cm3
Therefore, the volume of the cube is 216 cm3.