Question

find the volume of a cube whose surface area is 216m sqare. is the numerical value of the surface area same as that of its volume.​

Answer 1

let the side of cube be x meters

surface area of cube = 216m²

⇒ 6 × x² = 216

⇒ x² = 216/6 = 36

⇒ x² = 6²

⇒ x = 6

Hence, side of cube is 6m

∴Volume of cube = x³

= (6)³ m³

= 216 m³

Hence, the volume of cube is 216m³

Yes, the numerical value of surface area and volume of cube is equal i.e. 216

Answer 2

S.A. of cube = 6a^2 (a=side length)

a^2 = 36 and a = 6 meter.

volume of cube = a^3 = 6^3 = 216 cu.mt.

Numerical values are same.