Similar to this question: What is the maximum volume of $N$-D slice of an $M$-D hypercube?
Suppose we have a 3D cuboid with sides of length $a, b, c$. What is the maximum area of a slice of this cuboid?
My first guess would be that assuming $a$ is the largest, then the maximum area is $a*\sqrt{b^2 + c^2}$, but I'm not sure this is true.
