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2015 AMC 10B Problem 25

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2015 AMC 10B Problem 25AMC 10 Step by Step
Name:                             Date: September 13, 2026
Diophantine Equations · difficulty 4 of 5 · about 8 min · position P21-25

A rectangular box measures a×b×ca \times b \times c , where a,a, b,b, and cc are integers and 1≤a≤b≤c1 \leq a \leq b \leq c . The volume and surface area of the box are numerically equal. How many ordered triples (a,b,c)(a,b,c) are possible?

  1. A)

    44

  2. B)

    1010

  3. C)

    1212

  4. D)

    2121

  5. E)

    2626

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