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

The expression that can be used to represent the volume of the trapezoidal prism is  

Step-by-step explanation:

step 1

Find the area of the trapezoidal base

The area of a trapezoid is given by the formula

we have

substitute

step 2

Find the volume of the trapezoidal prism

we know that

The volume of the prim is given by

where

B is the area of the base

H is the height of the prism

we have

substitute

therefore

The expression that can be used to represent the volume of the trapezoidal prism is

the answer will be the last one