Question

Volume of a cube is 648^3 cm Find its total surface
area.​

Answer 1

449.3 cm^2

To find surface area from the volume, first cube root the number 648, which gives you 8.65 rounded to the nearest hundredth. Then you square it because you have to find the area if every side of the cube, so take that answer, which is 74.88 rounded to the nearest hundredth, multiply it by six. You have your answer

Answer 2

6√3

Explanation:

V = 648•(3½) = 8•81•(3½) where the SQUARE ROOT OF 3 has been written with a fractional exponent V = s3

so s = cube root of this V.

Cube root of 8 is 2; cube root of 81 is 3•3^(1/3) and cube root of square root of 3 is 3^(1/6).

Therefore s = 2•3•3^(1/3 + 1/6) = 2•3•3½ = 6√3.

You will need to get s2 = 36•3 = 108. Finally, T.S.A. = 6 s2 = 6(108) = 648.