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se the image to answer the question. Multiply the edge lengths of a right rectangular prism with length 12 , width 112 , and height 34 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 14 inch. Cube method: Number of cubes: 36 Volume of each cube: 14×14×14=164 Volume of the prism: v=36×164 =3664 =916 cubic units (1 point) Responses 12×12×34 Start Fraction 1 over 2 End Fraction times Start Fraction 1 over 2 End Fraction times Start Fraction 3 over 4 End Fraction 12×32×32 Start Fraction 1 over 2 End Fraction times Start Fraction 3 over 2 End Fraction times Start Fraction 3 over 2 End Fraction 12×32×34 Start Fraction 1 over 2 End Fraction times Start Fraction 3 over 2 End Fraction times Start Fraction 3 over 4 End Fraction 12×112×34

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
5 months ago

To find the volume of the prism using the edge lengths, we multiply 12 x 112 x 34 = 45,216.

To find the volume of the prism using the cube method, we have already calculated that it is 916 cubic units.

Therefore, 45,216 = 916 and both methods give the same volume for the prism.