Charles begins finding the volume of a trapezoidal prism using the formula a = (b1 b2)h to find the prism's base area. a = ((x 4) (x 2))x a = (2x 6)x a = (x 3)x a = x2 3x which expression can be used to represent the volume of the trapezoidal prism? 2x3 6x2 x3 6x2 x3 3x2 2x3 3x2

Answer:[tex]2x^3+6x^2[/tex]Step-by-step explanation:We are given that Prism's base area =[tex]x^2+3x[/tex]Formula for finding the volume of  a trapezoidal prism =[tex]\frac{1}{2}(b_1+b_2)h[/tex]Where [tex]\frac{1}{2}(b_1+b_2)[/tex]=Area of baseh=Height of prismWe have to find the expression that can be used to represents the volume of the trapezoidal prism.Height of prism=2xSubstitute the values in the formula then, we get Volume of trapezoidal prism=[tex](x^2+3x)\times 2x[/tex]Volume of trapezoidal prism=[tex]2x^3+6x^2[/tex]Hence, the expression that can be used to represents the volume of trapezoidal prism is given by [tex]2x^3+6x^2[/tex]