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jmc

geometry intermediate

Problem

A cubic block of wood with side lengths of 10 cm is cut into smaller cubes with side lengths of 1 cm. What is the ratio of the surface area of the larger block of wood to the combined surface area of the smaller blocks of wood? Express your answer as a common fraction.
Solution
The large cube had a surface area of sq cm, and the smaller blocks have a total area of sq cm. The ratio is
Final answer
\frac{1}{10}