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Mathematics
Geometry
Volume
A cube has side lengths of 2^5 cm long. If Sam has 16 of these cubes, what total volume would the cubes occupy written as a power of 2?
1 answer
The volume of each cube is $(2^5\text{ cm})^3=2^{5\cdot 3}=2^{15}$. Therefore, the total volume of the cubes is $16\cdot 2^{15}=\boxed{2^4\cdot 2^{15}}=\boxed{2^{19}\text{ cm}^3}$.
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