Question

find the volume of the trapezoidal prism given the measures shown. note that the figure is not to scale. 8 11 15 10 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, $a = 8$, $b = 10$, and $h = 11$.
So, $A=\frac{(8 + 10)\times11}{2}=\frac{18\times11}{2}=9\times11 = 99$.

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 (the distance between the two trapezoidal bases). Here, $A = 99$ and $l = 15$.
So, $V = 99\times15=1485$.

Answer:

1485