Cut it

Geometry Level 2

The figure shown above is a rectangular parallelepiped with dimensions 4 × 5 × 3 4 \times 5 \times 3 . What is the least number of cuts so that the maximum number of 1 × 1 × 1 1 \times 1 \times 1 cubes can be obtained?

9 8 11 10

A Former Brilliant Member by A Former Brilliant Member

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1 solution

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You have shown that 9 is possible. But how do you that 8 (or less) cuts isn't possible?

Pi Han Goh - 3 years, 10 months ago

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I think it is common sense that 8 or less is not possible, because what I've shown is complete cuts.

A Former Brilliant Member - 3 years, 10 months ago

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No, you have shown that it is possible to have 9 complete cuts, but you didn't justify why 8 (or less) complete cuts is not possible.

Pi Han Goh - 3 years, 10 months ago

You didn't consider stacking pieces after they have been cut in preparation for subsequent cuts.

Steven Perkins - 3 years, 8 months ago

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