Answer:
- 125/512 in³
- 125 smaller cubes
Explanation:
The volume of a cube is the cube of the edge dimension. Here, that dimension is 5/8 in, so the volume is ...
V = s³ = (5/8 in)³ = 125/512 in³ . . . volume of the cube
The volume of a cube 1/8 inch on a side is ...
V = (1/8 in)³ = 1/512 in³
Clearly, a volume that is 125/512 in³ will require 125 of the cubes of size 1/512 in³ to fill it.
125 of the smaller cubes will fit inside.
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Alternate solution
You can also determine the number of smaller cubes by considering it takes 5 of them in each direction to make 5/8 inch. Then the volume is 5³ = 125 of the smaller cubes.