a cube has numerically equal volume and surface area the volume of such acube is?

Question

the answer is 216 units, i want to know it in detail.

Answer 1

Volume = a power 3
Area = 6* (a power 2)

6*a2 = a3
a = 6

Volume = a power 3
= 6 power 3
so 216 :)

Answer 2

The volume of a cube is s^3 and the surface area is 6*s^2, since there are sixe faces of a cube: set them equal to each other and solve.
s^3=6s^2
so s=6 and the volume and surface area of this cube would be 216, as you already said.

Answer 3

You have not worded the question correctly. From the answer you have given if vol=216 then one side of the cube is 6 and surface area shall be 6*6^2=216. ok
We try to derive this mathematically
Let the side of the cube be x
volume =x^3
surface area=6x^2
x^3=6x^2
x=6
So volume =6*6*6=216 cubic units

Answer 4

a=6, sur area=6axa=216
volume=axaxa=216 or cube side is of 6 units.
VR

Answer 5

VOLUME OF CUBE=A^3;
WHERE A IS SIDE OF CUBE;

SURFACE OF CUBE=6A^2

VOLUME=AREA
A^3=6A^2
A=6

SO VOLUME =A^3=216