Hi guys. I'm having trouble with this math problem. I have a cube that I know the side lengths of. It is orientated so that one of the corners is at a right angles to the ground. Two opposite corners of the cube are labelled O (highest corner) and P (lowest corner). The line OP is perpendicular to the ground. The cube is submerged so that the middle of the cube is at ground level. What is the shape of the intersection with the ground? What area does this intersection make and what shadow does it make?
After visualising the problem, I've come to the conclusion that this will be a hexagon shape. After experimenting with a die I don't think that this hexagon intersection will be a perfect (same-sided) one. I'm really struggling to find the area of this intersection though. Any help appreciated!