The volume of the box can be calculated by multiplying the length, width, and height together. Since all the edges of the box are 1 and 1/2 feet long, we can assume that the dimensions are:
Length = 1.5 ft Width = 1.5 ft Height = 1.5 ft
So the volume of the box is:
1.5 ft × 1.5 ft × 1.5 ft = 3.375 cubic feet
The dimensions of each cube is 1/4 feet. To find out how many cubes can fit inside each dimension of the box, we need to divide the length, width, and height of the box by the length of each cube to get the number of cubes that can fit along each dimension. Then we multiply these values together to get the total number of cubes that can fit inside the box.
Number of cubes that can fit along the length of the box: 1.5 ft ÷ 1/4 ft = 6 cubes Number of cubes that can fit along the width of the box: 1.5 ft ÷ 1/4 ft = 6 cubes Number of cubes that can fit along the height of the box: 1.5 ft ÷ 1/4 ft = 6 cubes
So the total number of cubes that can fit inside the box is:
6 cubes × 6 cubes × 6 cubes = 216 cubes
Therefore, 216 cubes can fit inside each dimension of the box.