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2000 PMWC Problems/Problem T2

Revision as of 21:29, 21 April 2014 by TheMaskedMagician (talk | contribs) (Created page with "==Problem== A <math>5 \times 5 \times 5</math> cube is formed using <math>1 \times 1 \times 1</math> cubes. A number of the smaller cubes are removed by punching out the 15 desig...")
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Problem

A $5 \times 5 \times 5$ cube is formed using $1 \times 1 \times 1$ cubes. A number of the smaller cubes are removed by punching out the 15 designated columns from front to back, top to bottom, and side to side. Find the number of smaller cubes that remain.

Solution

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