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A rectangular prism with dimensions 5 inches by 13 inches by 10 inches was cut to leave a piece as shown in the image. What is the volume of this piece? What is the volume of the other piece?

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User Hugo Reyes
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To find the volume of the piece that was cut out, you need to calculate the volume of the original rectangular prism and then subtract the volume of the remaining piece.

The volume of the original rectangular prism is given by:

V1 = length x width x height
= 5 inches x 13 inches x 10 inches
= 650 cubic inches

To find the volume of the remaining piece, you need to determine its dimensions. If you have an image or a description of the piece, you can use that information to calculate its volume. Once you have the volume of the remaining piece, you can subtract it from the volume of the original rectangular prism to get the volume of the piece that was cut out.

To find the volume of the other piece, you can subtract the volume of the piece that was cut out from the volume of the original rectangular prism:

V2 = V1 - V_cut_out

where V_cut_out is the volume of the piece that was cut out.
User Gorefest
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