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3 votes
How big of box is needed to pack 64 boxes that are 1ft x 1ft x 1ft

1 Answer

6 votes

Answer:

something with a volume of 64 ft³, such as a box 4 ft × 4 ft × 4 ft

Explanation:

The volume of the smaller box is (1 ft)³ = 1 ft³. So 64 of them require a box with a volume of 64 ft³.

The most compact of such boxes is one that is cube-shaped itself. Such a box would have dimensions of ...

∛(64 ft³) = 4 ft

A box that is 4 ft × 4 ft × 4 ft would hold the 64 smaller boxes.

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