A discrete mathematics problem by Lakshika Rathi

On a standard 6 sided dice, the numbers on opposite faces add up to 7. Sue has 27 standard dice, which she stacks to form a large 3x3x3 cube. She then adds all the numbers of the outside faces of her large cube.

What is the smallest possible sum that Sue can get?

Image credit: Wikipedia Matěj Baťha
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