The total surface area of a cube is 486 \(c{m}^{2}\). Measure of the side of the cube will be:

Formula for total surface area of a cube:

\(\text{TSA}=6{a}^{2}\)

Where \(a\) is the side of the cube.

Given: \(\text{TSA}=486{\text{ cm}}^{2}\)

\(6{a}^{2}=486\)

\({a}^{2}=\frac{486}{6}=81\)

\(a=\sqrt{81}\\ =9\text{ }\text{cm}\)​