how many 1/3 inch cubes would fit into a rectangular prism. length is 1 1/3, width is 1 and height is 2/3

1 answer

To find out how many 1/3 inch cubes would fit into the rectangular prism, we need to calculate the volume of the prism and then divide it by the volume of one 1/3 inch cube.

The volume of the rectangular prism can be calculated by multiplying the length, width, and height. So the volume of the prism is:

Volume = (1 1/3) * 1 * (2/3)
Volume = (4/3) * 1 * (2/3)
Volume = 8/9 cubic inches

The volume of one 1/3 inch cube is (1/3) * (1/3) * (1/3) = 1/27 cubic inches.

Now, to find out how many 1/3 inch cubes can fit into the rectangular prism, we divide the volume of the prism by the volume of one cube:

Number of cubes = (8/9) / (1/27)
Number of cubes = (8/9) * (27/1)
Number of cubes = 24

Therefore, 24 cubes of 1/3 inch can fit into the rectangular prism.