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# geometry

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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?

May 19, 2021

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The bottom's length is $$4 \cdot 2 = 8$$ units and using the pythagorean theorem we get that the maximum length is $$\sqrt{6^2+8^2} = 10.$$

May 19, 2021

The bottom's length is $$4 \cdot 2 = 8$$ units and using the pythagorean theorem we get that the maximum length is $$\sqrt{6^2+8^2} = 10.$$