A rectangular prism measures 9 ft long and 5 ft wide. If the volume of the prism is 315 cubic feet, what is the height of the prism in feet?

Proved

Step-by-step explanation:

Given

--- sides of hexagon

--- side length

Required

Prove that for 7 points picked from the interior, 2 points are at most 1 unit apart

1. Draw a hexagon  (see attachment)

2. Divide the hexagon into 6 triangles

3. Select 7 points on the hexagon

You will notice that at least 2 points will be in one of the triangle.

The maximum distance between these two points is 1 unit. This is because

1. The triangle is equilateral (all sides equal)

2. The length of each is 1 unit (in other words, the distance between points, cannot exceed the side length)