multiply the edge lengths of a right rectangular prism with length 1/2, width 1 1/2, and height 3/4 to show that the product is the same as the volume you found by packing the prism with unit cubes with an edge lengths of 1/4 inch.

Answer 1

To find the volume of the right rectangular prism with edge lengths of 1/2, 1 1/2, and 3/4, we multiply the lengths together:

Volume = (1/2) * (3/2) * (3/4) = 9/16

Now, to find the volume of the prism by packing it with unit cubes with edge lengths of 1/4 inch, we first convert the dimensions of the prism to inches:

Length = 1/2 * 4 = 2 inches
Width = 1 1/2 * 4 = 6 inches
Height = 3/4 * 4 = 3 inches

Now, we find the volume of the prism by dividing the total volume by the volume of each unit cube:

Volume = (2 * 6 * 3) / (1/4 * 1/4 * 1/4) = 9/16

As we can see, both methods give us the same volume of 9/16.