Multiple the edge lengths of a right rectangular prism with length of 1/2m, width of 1/4m and height of 5/4m to show that the product is the same as the volume found by packing the prism with 10 cubes with an edge length of 1/4m. What is the volume of the prism
To find the volume of the right rectangular prism, we first multiply the edge lengths:
Volume = (1/2) * (1/4) * (5/4)
Volume = 5/32 cubic meters
Next, we calculate the volume of each cube:
Volume of one cube = (1/4)^3
Volume of one cube = 1/64 cubic meters
Since there are 10 cubes, the total volume of the cubes is:
Total volume of cubes = 10 * (1/64)
Total volume of cubes = 10/64 = 5/32 cubic meters
Therefore, the volume of the prism found by multiplying the edge lengths is the same as the volume found by packing the prism with 10 cubes. The volume of the prism is 5/32 cubic meters.