A square's diagonal has a length equal to √(2) times the length of its sides. So if the side length is <em>x</em>, then the diagonal is such that
√(2) <em>x</em> = 10 cm
→ <em>x</em> = 10/√(2) cm ≈ 7.07 cm
The perimeter of a square is 4 times its side length, so the perimeter is
4 (10/√(2) cm) = 40/√(2) cm ≈ 28.3 cm
which makes 28.4 cm the closest answer.
Volume = length x width x height
Thus, you need to find the cubic root of 500....the number that when multiplied by itself three times = 500,
There are different ways to write this.
![\sqrt[3]{500}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B500%7D%20)
=
![\sqrt[3]{125 * 4}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B125%20%2A%204%7D%20)
= 5
![\sqrt[3]{4}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B4%7D%20)
You can also show it as a decimal using a calculator = 7.94