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Answer :
Option C. The volume of the prism is 88.2 cubic inches, let's proceed with calculating its volume.
We can see from the image that the rectangle has dimensions of 4.2 inches by 3 inches. Since the height of the prism is given as 7 inches, we can use the formula for the volume of a rectangular prism, which is:
Volume = Base Area x Height
The base area of the prism is simply the area of the rectangle, which is:
Base Area = length x width
Base Area = 4.2 in x 3 in
Base Area = 12.6 in²
Now, we can plug in the values we have into the formula for the volume of the prism:
Volume = Base Area x Height
Volume = 12.6 in² x 7 in
Volume = 88.2 in³
Therefore, the volume of the prism is 88.2 cubic inches, which corresponds to option (C).
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