CPM Homework Help : A2C Problem 8-71

A $5' \times 4' \times 3'$ box is made for the purpose of storage. What is the longest pole that can fit inside the box?

Hint:

Find the distance between two opposite corners of the box.

More Help 1:

Draw a right triangle on the base of the box.
Find the measure of the hypotenuse.

$4^² + 5^² = c^²$

More Help 2:

Now draw a right triangle from the bottom corner to the top of the box.
Find the measure of that hypotenuse.

$c^² + 3^² = d^²$

Answer:

$7.07'$