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The Book Box

Understand the puzzle

The exact puzzle

Book boxes each measure 4 units long, 3 units wide, and 2 units tall. The shipping crate is a cube, 5 units on every side. Boxes must sit straight (no tilting), but you may turn any box any way you like. What is the largest number of book boxes that can fit in the crate?

Why this matters

Treat the quick calculation as a promise to check, not an answer β€” prove it with an arrangement

Take your time reading. There's no rush at all. Use the picture on the side to help it make sense, then tell me what it's really asking.