Question

If a cube has a total surface area of 486 square feet, then it is _____ feet on each edge

helpp

Answer 1

9 feet on the sides hope this helps

Answer 2

9 feet on each edge

Explanation:

Since the Total surface of a cube is calculated by a formula S=6a² (a cube is made up by six squares, and its turn a square has 4 sides the same size.

We have S=6a²

Then:

`486=6a^(2) \\ (486)/(6)=(6a^(2) )/(6) \\81=a^(3) \\ √(81)=\sqrt{a^(2)} \\a=9`

So a cube has 12 edges each one sizes 9 feet