Answer:
The volume of rectangular prism is \(V=16x^5+8x^4+56x^3\).
Step-by-step explanation:
It is given that the length rectangular prism of a is 2x, the width is 4x2, and the height is \(2x^2+x+7\).
The formula of volume of rectangular prism is
\(V=l\times w\times h\)
\(V=2x\times 4x^2\times (2x^2+x+7)\)
\(V=8x^3\times (2x^2+x+7)\)
\(V=8x^3\times 2x^2+8x^3\times x+8x^3\times 7\)
\(V=16x^5+8x^4+56x^3\)
Therefore the volume of rectangular prism is \(V=16x^5+8x^4+56x^3\).
