Find the volume of the right rectangular prism packed with cubes. Each cube has an edge length of 1/3 inch Enter the answer in a fraction and do not reduce
The volume of each cube is (1/3)^3 = 1/27 cubic inches.
To find the volume of the rectangular prism, we need to find how many of these cubes can fit in each dimension:
- Length: 3 cubes can fit (as the length of the prism is 1 inch and each cube has an edge length of 1/3 inch).
- Width: 4 cubes can fit (as the width of the prism is 4/3 inches and each cube has an edge length of 1/3 inch).
- Height: 5 cubes can fit (as the height of the prism is 5/3 inches and each cube has an edge length of 1/3 inch).
Therefore, the total volume of the right rectangular prism is 3 * 4 * 5 * (1/27) = 60/27 cubic inches = 20/9 cubic inches.