Answer :
Answer:
Answer: 216 cm2 (square centimetres [tex]cm^{2}[/tex], 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 = [tex]Edge^{3}[/tex] (remember: all edges are equal in this case)
so Edge = [tex]\sqrt[3]{Volume}[/tex]
in your example Edge = [tex]\sqrt[3]{216}[/tex] = 6cm
So the surface of one side is 6*6 = 36[tex]cm^{2}[/tex]
There are 6 sides in total, so the total surface is 6*36 = 216 [tex]cm^{2}[/tex]
Note: I call them "edges" but in case of a cube most say just "length"