geometry
posted by Marion on .
a box is in the shape of a cube where each face of the box is 12 inches by 12 inches. How long is the longest possible stick that can fit inside this cube?

This is time for the Pythagorean Theorem.
a^2 + b^2 = c^2
12^2 + 12^2 = c^2
144 + 144 = c^2
288 = c^2
16.97 = c 
Actually, since we have a 3D cube, the longest stick goes from the bottom corner to the opposite top corner.
d^2 = 12^2 + 12^2 + 12^2 = 3*12^2
d = 12√3 = 20.78