Question

10 POINTS!!!

Charles begins finding the volume of a trapezoidal prism using the formula A = 1/2 (b₁ + b₂) h to find the prism's base area.

Which expression can be used to represent the volume of the trapezoidal prism?

A. 2x³+ 6x²
B. x³ + 6x²
C. x³ + 3x²
D. 2x³ + 3x²

Explain your answer!


{Full explanations required. Answers choices are given. No need to spam answers, please!}


Please show your work!


Thanks!

Answer 1

○ 2x³ + 6x²

Explanation:

You multiply the height of 2x by x² + 3x.

I can help whenever I can.

Answer 2

2x^3 + 6x^2

Explanation:

Volumen = area * height

You already had the area which is:

x^2 + 3x

and the heigth is 2x

Volumen = (x^2 + 3x)* 2x

Volumen = 2x^3 + 6x^2