Hi Mathematics expert
Given the dimensions of a box, how will you find the measure of the longest line that can be inserted in that box? (Hint: You are actually finding the line that connects the vertex in the upper left back portion and the vertex in the lower right front portion, got it?) Good luck!
It would be hard to describe the figure so please follow my solution carefully.
Considering that the box (rectangular prism) has three-dimension qualities, the answer would be figured out using Pythagorean Theorem.
The ends of the prism will constitute in answering the question. Measure the height and the width; use Pythagorean Theorem to calculate the hypothenuse. Now, use the calculated hypothenuse and the length of the prism as sides of a right triangle. Again, use Pythagorean Theorem to calculate the missing length of the hypotenuse.
I'm very sorry for the untimely answer. I thought I was able to put myself on vacation.
Hope this helps,