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?
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.