The surface area of a cube is 864 cm2 . The volume of the cube is _______.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1. i.e. 1728 cm3 .
Given:
Surface area of cube = 864 cm2
Concept Used:
Surface area of cube = 6a2 ....(i)
Volume of cube = a3 ...(ii)
Explanation:
Let the side of the cube be a cm
Using equation (i), 6a2 = 864
⇒ a2 = 144
⇒ a = 12
Using equation (ii), volume of cube = (12)3 = 1728
Hence volume of given cube is 1728 cm3 .