CPM Homework Help : CCA2 Problem 7-69

Open box, labeled as follows: front side, left edge, 3 feet, bottom edge, 5 feet, left side, top edge, 4 feet. A $5' × 4' × 3'$ 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.

$4^2 + 5^2 = c^2$

In the open box, dashed orange, line segment, labeled, c, from top, left vertex, of front side, to top, back vertex, of right side. Dashed green, line segment, labeled, d, from top, back vertex, of left side, to bottom, right vertex, of front side.

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:

$7.07'$