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
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?
2 answers
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
d^2 = 12^2 + 12^2 + 12^2 = 3*12^2
d = 12√3 = 20.78