2002 AMC 10A Problems/Problem 18
Contents
Problem
A 3x3x3 cube is made of normal dice. Each die's opposite sides sum to
. What is the smallest possible sum of all of the values visible on the
faces of the large cube?
Solution
In a 3x3x3 cube, there are cubes with three faces showing,
with two faces showing and
with one face showing. The smallest sum with three faces showing is
, with two faces showing is
, and with one face showing is
. Hence, the smallest possible sum is
. Our answer is thus
.
Video Solution
https://www.youtube.com/watch?v=1sdXHKW6sqA ~David
See Also
2002 AMC 10A (Problems • Answer Key • Resources) | ||
Preceded by Problem 17 |
Followed by Problem 19 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AMC 10 Problems and Solutions |
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