Question

A straw is placed inside a rectangular box that is 6 inches by 10 inches by 9 inches, as

shown. If the straw fits exactly into the box diagonally from the bottom left corner to
the top right back corner, how long is the straw? Leave your answer in simplest
radical form.
9 in.
10 in.
6 in.

Answer 1

1+ w2= d12
d12 + h2 = d22
(12+ w3) + h2 = d22
62+22+42=022
48=022
d2 = 148
d2 = V(16)(3)
d2 = 4v3
Use the Pythagorean theorem twice 1 time to find the diagonal one the bottom from the box. And then find the 2 diagonal using the one before which is diagonal 1 and find the height of the box. Hope this helps!