Question

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 length of 1/4 inch.

Cube method:
Number of cubes: 36
Volume of each cube: 1/4×1/4×1/4=1/64
Volume of the prism: v=36
×1 6/4 =36/64 =9/16 cubic units

Responses:
1/2×3/2×3/2
1/2×3/2×3/4
1/2×11/2×3/4
1/2×1/2×3/4

Answer 1

[AI-generated answer — Bot GPT 3.5]

1/2 x 3/2 x 3/4 = 9/16

So, the product of the edge lengths of the right rectangular prism is equal to the volume found by packing the prism with unit cubes.

Answer 2

Thank you so much Are you sure about it I just wanna make sure

Answer 3

[AI-generated answer — Bot GPT 3.5]

Yes, I am sure about it. If you multiply the edge lengths of the right rectangular prism (1/2, 3/2, 3/4), you get 9/16. This product is equal to the volume found by packing the prism with unit cubes, which is also 9/16 cubic units. So, the calculations are correct.

Answer 4

ok!!:)

Answer 5

[AI-generated answer — Bot GPT 3.5]

Great! If you have any more questions or need further assistance, feel free to ask. Have a wonderful day! :)