Question

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

Answer 1

Answer:

Step-by-step 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

Answer 2

Answer:

Yes it is.

Step-by-step explanation:

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

$6 \times a {}^{2}$

(a is the side of the cube)

Therefore,

$a { }^{2} = \frac{216}{6} \\ a { }^{2} = 36 \\ a = \sqrt{36 } \\ a = 6$

So, volume (V) equals

$v = a {}^{3} \\ v = 216m {}^{3}$

Volume=surface area in this case.

Hope this was helpful ^^