Question

find the volume of the trapezoidal prism given the measures shown. note that the figure is not to scale. 9 10 11 10

Explanation:

Step1: Find area of trapezoidal base

The formula for the area of a trapezoid is $A = \frac{(a + b)}{2} \times h$, where $a$ and $b$ are the lengths of the two parallel sides, and $h$ is the height of the trapezoid. Here, $a = 9$, $b = 10$, and $h = 10$.
So, $A=\frac{(9 + 10)}{2}\times10=\frac{19}{2}\times10 = 95$.

Step2: Find volume of 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, $A = 95$ and $l = 11$.
So, $V = 95\times11=1045$.

Answer:

1045