HMMT 1998 A5
- Algebra
- Answer
A man named Juan has three rectangular solids, each having volume 128. Two of the faces of one solid have areas 4 and 32 . Two faces of another solid have areas 64 and 16 . Finally, two faces of the last solid have areas 8 and 32 . What is the minimum possible exposed surface area of the tallest tower Juan can construct by stacking his solids one on top of the other, face to face? (Assume that the base of the tower is not exposed).
Dataset text NuminaMath olympiads. Quoted with source.
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