Question

the area of the surface of a cube is 486 cm^2 if the thickness of the material is 5mm, find the volume of the material

Answer 1

Answer:

use formula .... v=m/d

Answer 2

Let the Total Surface Area be x cm.

Total surface area = 486 cm²

⇒ 6x² = 486

⇒ x² = 486 / 6

⇒ x² = 81

⇒ x = √81

⇒ x = 9

Hence, the side is 9 cm.

∴ Volume of Cube = side³

⇒ Volume = 9³

⇒ Volume = 9 × 9 × 9

⇒ Volume = 729 cm³

Hence, the Volume of Cube is 729 cm³.