Conway Puzzle

Construct a $5\times 5\times 5$ cube from 13 $1\times 2\times 4$ blocks, 1 $2\times 2\times 2$ block, 1 $1\times 2\times 2$ and 3 $1\times 1\times 3$ blocks.

See also Box-Packing Theorem, Cube Dissection, de Bruijn's Theorem, Klarner's Theorem, Polycube, Slothouber-Graatsma Puzzle

References

Honsberger, R. Mathematical Gems II. Washington, DC: Math. Assoc. Amer., pp. 77-80, 1976.