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 total volume is 2____ cm3
The volume of each cube is 25 cm x 25 cm x 25 cm = 15625 cm^3.
Therefore, the total volume of 16 cubes is 16 x 15625 cm^3 = 250000 cm^3.
To write the total volume as a power of 2, we need to find the closest power of 2 that is less than 250000.
2^17 = 131072
2^18 = 262144
Since 250000 is between 131072 and 262144, we can write the total volume as 2^17 cm^3.