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OpenStudy (anonymous):
help please use the box method to find the volume of a rectangular prism with a base of area B=(x^2+5x+4) in.^2 and a height of h=(x+3) in.
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OpenStudy (anonymous):
@Landon_Buckland
OpenStudy (anonymous):
The general formula for the volume of a prism is..\[Volume = Base * Height\]..so, for this problem we have..\[(x^2+5x+4)(x+3)\]This is solved by distributing each of the terms over one another. This yields..\[x^3+3x^2+5x^2+15x+4x+12=x^3+8x^2+19x+12\]
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