1. Three Dimensional Problems
Example 1:
Given the following cylinder, the radius is 6 cm and the diagonal measure from the radius to the top edge measures 10 cm. Find the height of the cylinder.

2. Three Dimensional Problems
Example 2:
A straw is placed into a rectangular box that is 3 inches by 4 inches by 8 inches, as shown in the accompanying diagram. If the straw fits exactly into the box diagonally from the bottom left front corner to the top right back corner, how long is the straw, to the inch?

3. Three Dimensional Problems
Example 3:
The length of the longest rod which can be kept inside a rectangular box is 17 cm. If the inner length and breadth of the box are 12 cm and 8 cm respectively, find its inner height.
17cm
8 cm
12 cm