A straw is placed inside a rectangular box that is 6 inches by 2 inches by 4 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.

Step-by-step explanation:

Use the Pythagorean theorem twice once to find the diagonal 1 along the bottom of the box  and the to find the diagonal 2 using diagonal 1 and the height of the box  

l² + w² = d1²

d1² + h² = d2²

(l² + w²) + h² = d2²

6² + 2² + 4² = d2²

48 = d2²

d2 = √48

d2 = √(16)(3)

d2 = 4√3