Question

find the volume of the trapezoidal prism given the measures shown. note that the figure is not to scale. 5 11 18 13 show your work here

Explanation:

Step1: Find the area of the trapezoidal base

The formula for the area of a trapezoid is $A=\frac{(a + b)h}{2}$, where $a$ and $b$ are the lengths of the two parallel sides, and $h$ is the height of the trapezoid. Here, $a = 5$, $b = 13$, and $h = 11$.
So, $A=\frac{(5 + 13)\times11}{2}=\frac{18\times11}{2}=9\times11 = 99$.

Step2: Find the volume of the trapezoidal prism

The volume of a prism is given by $V=A\times l$, where $A$ is the area of the base and $l$ is the length of the prism. Here, $A = 99$ and $l = 18$.
So, $V=99\times18 = 1782$.

Answer:

1782