Let $PQRSTUVW$ be a rectangular prism, as shown. The area of face $TUVW$ is $10,$ the area of face $TUQP$ is $10,$ and the area of face $TPSW$ is $10.$ Find the volume of the rectangular prism.

magenta Jan 20, 2024

#1**+1 **

I would like to draw a diagram for you, but I was too lazy to learn Asymptote

But I drew a lil' diagram on my paper, and found that 3 adjecent side are the \(10\) sides. Honestly, I don't have a proof for this, but I'm sure that this means the "rectangular" prism is actually a cube. That means that the side lengths are \(\sqrt{10}\), or the remainder is \(10\sqrt{10}\).

moneydude242 Jan 20, 2024