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

Mathematics

2 answers:

Dovator [93]3 years ago

7 0

9 feet on the sides hope this helps

Aliun [14]3 years ago

7 0

Answer:

9 feet on each edge

Step-by-step 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:

$486=6a^{2} \\ \frac{486}{6}=\frac{6a^{2} }{6} \\81=a^{3} \\ \sqrt{81}=\sqrt{a^{2}} \\a=9$

So a cube has 12 edges each one sizes 9 feet

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