The volume of one cube is calculated by taking the length of one side and raising it to the power of 3.
So, the volume of one cube is 25^3 = 15,625 cm^3.
To find the total volume occupied by the 16 cubes, we multiply the volume of one cube by the number of cubes: 15,625 cm^3 x 16 = 250,000 cm^3.
To write this total volume as a power of 2, we need to find the nearest power of 2 that is less than or equal to 250,000.
The nearest power of 2 less than 250,000 is 2^17, which is equal to 131,072.
Therefore, the total volume occupied by the cubes can be written as a power of 2: 2^17.
I A cube has side lengths of 25 cm long. If Sam has 16 of these cubes, what total volume would the cubes occupy written as a power of 2?
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