To find the volume of the right rectangular prism with length 1/2, width 1 1/2, and height 3/4, we can use the formula:
Volume = length x width x height
Volume = (1/2) x (3/2) x (3/4)
Volume = 9/8
Now, we can also find the volume of the prism using the unit cubes method. Since each unit cube has an edge length of 1/4, we calculated that the volume of each cube is 1/64.
Therefore, to find the total volume of the prism using the unit cubes method, we can multiply the number of cubes (36) by the volume of each cube (1/64):
Total volume = 36 x 1/64
Total volume = 9/8
As you can see, both methods give us the same result of 9/8, confirming that the product of the edges length of the right rectangular prism is the same as its volume.
That's why yeah he knows multiply the edges length of a right rectangular prism with length 1/2 with 1 and 1/2 and height 3/4 to show that the product is the same as the volume you found by packing in prison with unit cubes with an edge length of 1/4 in cube method number of cubes equal 36 volume of each cube 1/4 * 1/4 * 1/4 equals 1/64
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