Question

A cube has volume 216cm find total surface area of cube​

Answer 1

Answer:

Answer: 216 cm2 (square centimetres $cm^{2}$, in your question you had to put cm3, cubic centimetres, it's IMPORTANT )

Step-by-step explanation:

A perfect cube by definition has 3 equal dimensions, as an immediate rule: volume and total surface are equal, only the unit of measure changes (cubic for the volume, square for surface).

But let's calculate it anyway:

Volume  = Edge * Edge * Edge = length * width * depth = $Edge^{3}$  (remember: all edges are equal in this case)

so Edge = $\sqrt[3]{Volume}$

in your example Edge = $\sqrt[3]{216}$ = 6cm

So the surface of one side is 6*6 = 36$cm^{2}$

There are 6 sides in total, so the total surface is 6*36 = 216 $cm^{2}$

Note: I call them "edges" but in case of a cube most say just "length"