Answer:
If the edge length of the cubes is 2 inches, we need to determine whether more or fewer cubes would be needed to fill the box compared to if the cubes had a different edge length.
To calculate the number of cubes needed to fill the box, we need to consider the volume of the box and the volume of each cube.
Let's assume:
- The box's dimensions are not provided, so we'll consider it to have dimensions that are multiples of the cube's edge length.
- The volume of the box is calculated by multiplying its length, width, and height.
If the cubes have an edge length of 2 inches:
- The volume of each cube would be \(2 \times 2 \times 2 = 8\) cubic inches.
- The number of cubes needed to fill the box depends on the volume of the box and the volume of each cube.
Now, consider if the box's dimensions are such that it can be evenly filled with 2-inch edge cubes. In this case, the number of cubes required would be determined by the division of the box's volume by the volume of each cube.
If the box's dimensions are not exact multiples of the cube's edge length, there might be some space left unfilled or some cubes might need to be trimmed to fit the box precisely.
In general, if the edge length of the cubes is increased, fewer cubes will be needed to fill the box. Conversely, if the edge length of the cubes is decreased, more cubes will be needed to fill the box, assuming the box's dimensions remain the same.
