Question

A cube has numerically equal volume and surface area. The
volume of such a cube is
(a) 1000 unit (b) 200 unit
(c) 216 unit (d) 300 unit

Answer 1

surface area =volume

6(side)^2=(side)^3

6=side

So, volume=6^3

=216 units

Answer 2

Answer:

the correct answer is option c) 216 cm³.

let the side be a cm

given,

surface area = volume

=> 6 × a² = a³

dividing both sides by a²

then

a = 6 cm

so, length of the side is 6cm

so, volume = 6³ = 216 cm²