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?
The volume of one cube is calculated by taking the cube of the side length:
Volume of one cube = side length^3 = 25^3 = 15,625 cm^3
Since Sam has 16 of these cubes, the total volume they would occupy is:
Total volume = 16 * Volume of one cube = 16 * 15,625 = 250,000 cm^3
Expressing the total volume as a power of 2:
250,000 = 2^4 * 15,625 = 2^4 * (2^14) = 2^18
Therefore, the total volume occupied by the 16 cubes can be written as 2^18 cm^3.