A hexagonal prism has a height of 6 units and a regular hexagonal base with a side length of 4 units. What is the length of the longest segment that can fit inside this prism?
The bottom's length is \(4 \cdot 2 = 8\) units and using the pythagorean theorem we get that the maximum length is \(\sqrt{6^2+8^2} = 10.\)
The bottom's length is \(4 \cdot 2 = 8\) units and using the pythagorean theorem we get that the maximum length is \(\sqrt{6^2+8^2} = 10.\)