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2026 AMC 10A Problem 20

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2026 AMC 10A Problem 20AMC 10 Step by Step

Name: Date: November 10, 2026

Distributions & Stars and Bars · difficulty 4 of 5 · about 6 min · position P16-20

Boxes with dimensions $77 \times 78 \times 85$ or $2 \times 3 \times 85085$ have volume $510,510$ . How many different boxes with integer side lengths at least $2$ , including these two, have volume $510,510$ ? Boxes are considered different if they have different dimensions.

A) $63$
B) $90$
C) $301$
D) $377$
E) $966$

2026 AMC 10A Problem 20

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