How is using the Pythagorean theorem in a rectangular prism similar to using it in a rectangle

ok

Step-by-step explanation:

well first off a rectangle does not have a diameter ...

it has a width and a length

u could use pythag to solve for a side of the rectangle, given that there is also a triangle inscribed into the rectangle

lets say ur given the width of a rectangle and u have to solve for the length

u are also given the diagonal which stretches from one corner to the other forming a triangle with the width and length of the rectangle

say the diagonal was 5cm long and the width was 3cm long, and u have to find the length, x

5^2 = 3^2 + x^2

25 = 9 + x^2

x^2 = 16

x=4