Answer: To solve this problem, we need to calculate the volume of the rectangular prism and the volume of each cube, and then divide the volume of the rectangular prism by the volume of each cube.
The rectangular prism has dimensions of length 6 1/2 m, width 1 1/2 m, and height 4 m. Therefore, its volume is:
V_rectangular prism = length x width x height
= (6 1/2 m) x (1 1/2 m) x (4 m)
= (13/2 m) x (3/2 m) x (4 m)
= 39/2 m^3
Each cube has a side length of 1/2 m. Therefore, its volume is:
V_cube = side length^3
= (1/2 m)^3
= 1/8 m^3
To find how many cubes fit inside the rectangular prism, we divide the volume of the rectangular prism by the volume of each cube:
Number of cubes = V_rectangular prism / V_cube
= (39/2 m^3) / (1/8 m^3)
= (39/2 m^3) x (8/1 m^3)
= 156 cubes
Therefore, 156 cubes with a side length of 1/2 m would fit inside the rectangular prism.
Explanation: