multiply the edge lengths of a right rectangular prisim with length 1/2 m width 1/4 m and height 5/4 m to show that the product is the same as the volume found by packing the prism with 10 unit cubes with an edge length of 1/4 m what is the volume of the prism cubic meters

Answer 1

To find the product of the edge lengths of the prism, we multiply the length, width, and height:
(1/2) * (1/4) * (5/4) = 5/32

Now, let's calculate the volume of the prism by packing it with 10 unit cubes:
The volume of a unit cube with an edge length of 1/4 m is (1/4)^3 = 1/64 cubic meters.
The volume of 10 unit cubes is 10 * (1/64) = 10/64 = 5/32 cubic meters.

As we can see, the product of the edge lengths of the prism and the volume obtained by packing it with 10 unit cubes are the same (5/32).

Therefore, the volume of the prism is 5/32 cubic meters.