It is stated that the volume of the following right angle triangular pyramid is $288$. I'd like to determine the coordinates of points $A, B, C$.
I realize that $\frac{0.5\cdot x\cdot y\cdot z}{3}=288$, hence $xyz=1728$ (where $x$ is point $A$, $y$ point $B$, $z$ point $C$), yet I'm not sure how to proceed and would appreciate some assistance.
