Answer
Volume = [tex]6x^3+39x^2+54x[/tex] Step-by-step explanation: A prism is a solid object with two bases that are parallel, while the other faces are parallelograms. Specifically, a rectangular prism is a three-dimensional figure that features six rectangular faces. Let l represent the length, w denote the width, and h signify the height of the rectangular prism. Accordingly, the volume is defined as [tex]lwh[/tex]. We can also apply the formula: [tex]a(b+c)=ab+ac[/tex]. Here, we have [tex]l=x+2\w=3x\h=2x+9[/tex]. The volume of the rectangular prism is computed as follows: [tex]V=left ( x+2 right )left ( 3x right )left ( 2x+9 right )\=left ( 3x^2+6x right )left ( 2x+9 right )\=3x^2left ( 2x+9 right )+6xleft ( 2x+9 right )\=6x^3+27x^2+12x^2+54x\=6x^3+39x^2+54x[/tex>
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