The cuboid

Author: David Gibson

Answers…

Possible correction to bottom-right:

On the bottom right corner of this problem, I think the answer is wrong. (I was just clicking on a couple to see what these are like. I have not really worked any of them.) My thought was that turning the cylinder on its side would increase the volume. When I do this I get r = 4 and h = 20 for a volume of 320π ≈ 1005 cm³. That’s obviously less than the one in the solution, but when I calculated the volume of the one sketched in, I got r = 6, h = 8, and a volume of 288π ≈ 905 cm³