Question

find the volume of the trapezoidal prism given the measures shown. note that the figure is not to scale. 5 4 10 7 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, $a = 5$, $b = 7$, and $h = 4$.
So, $A=\frac{(5 + 7)\times4}{2}=\frac{12\times4}{2}=24$.

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, $A = 24$ and $l = 10$.
So, $V = 24\times10 = 240$.

Answer:

240