There is an ample supply of identical blocks (as shown). Each block is constructed from four 1 × 1 × 1 unit-cubes glued whole-face to whole-face. What is the greatest number of such blocks that can be packed into a box that is 6 units tall, 7 units wide, and 8 units deep without exceeding the height of the box?
The answer is 72 because my teacher gave it to me. I promise i'm legit, and I won't lie. This is the real answer, and if you choose 336, you're probably getting it wrong. That's from Math Olympiad.
