Question

Compare Methods of Finding Volume Quick Check

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Question
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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: 3/6
Volume of each cube: 1/4×1/4×1/4=1/64

Volume of the prism:

v=36×1/64

=36/64

=9/16 cubic units

(1 point)
Responses

Answer 1

[AI-generated answer — Bot GPT 3.5]

The cube method involves finding the volume by packing the prism with unit cubes and calculating the total number of cubes needed. In this case, the total number of cubes is 3/6 and the volume of each cube is 1/64. The total volume of the prism is calculated by multiplying the total number of cubes with the volume of each cube.

Alternatively, the volume of the prism can also be found by multiplying the edge lengths of the right rectangular prism. In this case, the edge lengths are 1/2, 1 1/2, and 3/4. By multiplying these edge lengths, we get the same volume as calculated using the cube method. The volume using the multiplication method is 9/16 cubic units.

Both methods will give you the same volume for the right rectangular prism.