Final answer:
The box can fit 60 1-inch cubes on the bottom layer and a total of 240 cubes in the entire box.
Step-by-step explanation:
To determine how many 1-inch cubes can fit on the bottom layer of the box, you can divide the area of the bottom of the box by the area of the base of a cube. The box dimensions are 10 inches by 6 inches. Since the cubes are 1-inch cubes, they will take up an area of 1 square inch on the bottom of the box. Therefore, the number of cubes that can fit on the bottom layer is the length times the width of the bottom of the box, which is 10 inches × 6 inches = 60 cubes.
Next, to determine how many cubes can fit in the entire box, you must consider the height of the box. The box is 4 inches high, and since the cubes are 1-inch high, you can fit 4 layers of 1-inch cubes in the box. Thus, the number of cubes the box can accommodate is the number of cubes on the bottom layer times the number of layers, which is 60 cubes × 4 = 240 cubes.