MathDB

#9

Part of 2023 UMD Math Competition Part I

Problems(1)

The Amazing Prime

Source: UMD 2023 I #9

10/26/2023
The Amazing Prime company ships its products in boxes whose length, width, and height (in inches) are prime numbers. If the volume of one of their boxes is 105105 cubic inches, what is its surface area (that is, the sum of the areas of the 6 sides of the box) in square inches? a. 21b. 71c. 77d. 05e. 142 \mathrm a. ~ 21\qquad \mathrm b.~71\qquad \mathrm c. ~77 \qquad \mathrm d. ~05 \qquad \mathrm e. ~142
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