Question

I'm trying figure out how to solve this problem. I need to find the volume of the right trapezoidal prism.

Answer 1

In order to calculate the volume of this prism, first let's calculate the base area of the prism.

The bigger base of the trapezoid is 5, the smaller base is 3, and the height is 3, so the area of the trapezoid is:

$\begin{gathered} A=\frac{(5+3)\cdot3}{2} \\ A=\frac{8\cdot3}{2}=12 \end{gathered}$

Then, to find the volume of the prism, let's multiply the base area and the prism height (9 units):

$\begin{gathered} V=12\cdot9 \\ V=108 \end{gathered}$

So the volume is 108 cubic units.