Question

Find the volume of a cube whose surface area is 216m is the numerical value of the surface area

same as that of its volume?​

Answer 1

Yes it is.

Explanation:

So, the surface area of the cube is 216 square meters. Surface area equals:

`6 * a {}^(2)`

(a is the side of the cube)

Therefore,

`a { }^(2) = (216)/(6) \\ a { }^(2) = 36 \\ a = √(36 ) \\ a = 6`

So, volume (V) equals

`v = a {}^(3) \\ v = 216m {}^(3)`

Volume=surface area in this case.

Hope this was helpful ^^

Answer 2

Explanation:

surface area of cube = 6a²

6a² = 216

a² = 216/6 = 36

a² = 6 * 6

a = 6 m

Volume of cube = a³ = 6³

= 6 *6*6 =216 cu.m

Yes the volume and surface area are same