The total surface area of a cube is 1536 m2 .Find its volume.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 4096 m3
Given:
Total surface area of cube = 1536 cm2
Concept Used:
Surface area of cube = 6a2 ...(i)
Volume of cube = a3 ...(ii)
Explanation:
From equation (i), we get
6a2 = 1536
⇒ a2 = 256
⇒ a = 16
Noe, using equation (ii), we get
Volume of cube = (16)3
⇒ Volume of cube = 4096 cm2.
hence the volume of cube is 4096 cm3.