### Instruction: How many units apart is any pair of parallel sides of a regular hexagon with side of 6 units? Express your answer in simplest radical form.### Response: I know that a regular hexagon can be divided into six equilateral triangles, each with side of 6 units.
I also know that the height of an equilateral triangle is half the product of the side and the square root of 3.
So, the height of one of these triangles is 3 times the square root of 3.
This means that the distance between any pair of parallel sides of the hexagon is twice the height of one of these triangles, or 6 times the square root of 3.
This is the simplest radical form of the answer.