The volume of the rectangular prism is the amount of space in the prism
The volume of the rectangular prism is x^3+8x^2+19x+12 cubic inches
How to determine the volume?
The given parameters are:
Base area = x^2+5x+4
Height = x + 3
The volume is then calculated as:
Volume = Base area * Height
So, we have:
Volume = (x^2+5x+4) * (x + 3)
Expand
Volume = x^3+5x^2+4x + 3x^2+15x+12
Collect like terms
Volume = x^3+5x^2+ 3x^2+4x +15x+12
Evaluate the sum
Volume = x^3+8x^2+19x+12
Hence, the volume of the rectangular prism is x^3+8x^2+19x+12 cubic inches
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