Why smaller pieces expose more surface
Calculate a surface-area change and explain the model's limits.
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The Builder · fictional example
The situation
The Builder sketches a cube with side length 2 units. He divides it into eight separated cubes of side length 1, exposing all their faces.
Before you continue
What would you predict? Say it aloud or write a line on paper. Then compare your reasoning with the example.
Starting knowledge: Surface area of a cube = 6 × side²; volume = side³.
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