Question

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 1

Answer:

$2x^3+6x^2$

Step-by-step explanation:

We are given that

Prism's base area =$x^2+3x$

Formula for finding the volume of  a trapezoidal prism =$\frac{1}{2}(b_1+b_2)h$

Where $\frac{1}{2}(b_1+b_2)$=Area of base

h=Height of prism

We have to find the expression that can be used to represents the volume of the trapezoidal prism.

Height of prism=2x

Substitute the values in the formula then, we get

Volume of trapezoidal prism=$(x^2+3x)\times 2x$

Volume of trapezoidal prism=$2x^3+6x^2$

Hence, the expression that can be used to represents the volume of trapezoidal prism is given by

$2x^3+6x^2$

Answer 2

the answer is 2x3 + 6x2