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Zero would be enough.
134 cubes left.
There are infinitely many boxes that will fit 200 inch cubes and have space left over and the question does not exclude such boxes. However, there are 12 boxes that will just fit 200 inch cubes.
Answer = 8. The only small cubes with paint on three faces are those that occupied the corners of the original cube.
To determine how many small cubes are needed to fill a right rectangular prism, you first need to calculate the volume of the prism by multiplying its length, width, and height. Then, calculate the volume of one small cube by cubing its side length. Finally, divide the volume of the prism by the volume of the small cube to find the total number of cubes required.