A rectangular prism has a length of $3$, a width of $5$, and a height of $11$. What is the distance between two opposite corners of the prism?
Diagonal across the base: This can be calculated using the Pythagorean theorem on the right triangle formed by half the width, half the length, and the diagonal across the base.
Applying the formula, we get 252+232=d12, where d1 is the diagonal across the base. Solving for d1, we get d1=38.