Asked by Marion
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?
Answers
Answered by
Ms. Sue
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^2 + b^2 = c^2
12^2 + 12^2 = c^2
144 + 144 = c^2
288 = c^2
16.97 = c
Answered by
Steve
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
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