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

Answer 1

The volume of one cube is calculated by taking the cube of the side length.

Volume of one cube = (2^5)^3 = 2^(5*3) = 2^15

Since Sam has 16 cubes, we need to multiply the volume of one cube by 16.

Total volume = 16 * 2^15 = 2^(4+15) = 2^19

So, the total volume that the cubes would occupy is written as 2^19.