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# Geometry

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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.

Mar 15, 2021

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the large cube has a surface area of $$6 * 10^2 = 600$$, and the smaller cubes have a total area of $$6 * 1000 = 6000$$.

so, the ratio is $$\frac{600}{6000}$$ = $$\frac{1}{10}$$

hope this helped! please let me know if you are still confused

Mar 15, 2021