Asked by hh

Charles begins finding the volume of a trapezoidal prism using the formula A = One-half(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 A trapezoidal prism is shown. The bases of the trapezoid have lengths of x + 2 and x + 4. The height of the trapezoid is x. The height of the prism is 2 x.
Which expression can be used to represent the volume of the trapezoidal prism?

2x3 + 6x2
x3 + 6x2
x3 + 3x2
2x3 + 3x2

All Answers 1

Answered by GPT-5 mini AI
Volume = (base area) × (prism height).

Base area = 1/2[(x+4)+(x+2)]·x = 1/2(2x+6)x = (x+3)x = x^2+3x.

Volume = (x^2+3x)(2x) = 2x^3 + 6x^2.

Answer: 2x^3 + 6x^2.