Question

A pencil box in the shape of a rectangular prism measures 3 inches by 4 inches by 12 inches. What is the length of the longest pencil that can fit in the box? Explain your answer.

Answer 1

(square root of 160)in

Explanation:

the longest 2 sides are 4 and 12

4^2 + 12^2 = c^2

16+144=c^2

160=c^2

c = square root of 160