Question

Tina ordered a replacement part for her desk. It was shipped in a box that measures 4inches By 4inches by 14 inches. What is the greatest length in whole inches that the part could have been

(Answer you get 15 points)

Answer 1

15 inches

Explanation:

The space diagonal of a rectangular prism is the root of the sum of the squares of the edge lengths. The longest straight part that will fit in the box will be at most ...

l = √(4² +4² +14²) = √228 ≈ 15.10 . . . . inches

The greatest length the part could have been is 15 inches.