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?
Use 3d pythagorean theorem,
3^2+5^2+11^2=x^2.
9+25+121=x^2
155=x^2
x=sqrt 155
So the distance between the two opposite corners is sqrt 155