Final answer:
To fill the large cube with a side length of 5 inches, it would take 8 small cubes, each with a side length of 2.5 inches.
Step-by-step explanation:
To find out how many small cubes it would take to fill the large cube, we need to calculate the volume of both cubes and then divide the volume of the large cube by the volume of the small cube. The formula for the volume of a cube is V = s³, where s is the length of one side of the cube.
First, let's calculate the volume of the small cube:
- Volume of small cube = 2.5 inches x 2.5 inches x 2.5 inches = 15.625 cubic inches.
Now, let's calculate the volume of the large cube:
- Volume of large cube = 5 inches x 5 inches x 5 inches = 125 cubic inches.
To determine how many small cubes fit into the large cube, we divide the volume of the large cube by the volume of the small cube:
- Number of small cubes = 125 cubic inches / 15.625 cubic inches = 8.
Therefore, it would take 8 small cubes to fill the large cube.