Solution:
The surface area of cube is given as:
[tex]Surface\ area = 6a^2[/tex]
Where, "a" is the length of side of cube
Given that, surface area = 486 square centimeter
[tex]486 = 6a^2\\\\a^2 = \frac{486}{6}\\\\a^2 = 81\\\\a = 9[/tex]
Find the volume of cube:
[tex]volume\ of\ cube = a^3\\\\volume\ of\ cube = 9^3\\\\volume\ of\ cube = 9 \times 9 \times 9\\\\volume\ of\ cube = 729[/tex]
Thus volume of cube is 729 cubic centimeter
