Question

find the volume of the trapezoidal prism given the measures shown. note that the figure is not to scale. 4 7 17 10 show your work here

Explanation:

Step1: Find area of trapezoid base

The formula for the area of a trapezoid is $A = \frac{1}{2}(b_1 + b_2)h$, where $b_1 = 4$, $b_2 = 10$, and $h = 7$.
$A=\frac{1}{2}(4 + 10)\times7=\frac{1}{2}\times14\times7 = 7\times7 = 49$.

Step2: Find volume of trapezoidal prism

The volume of a prism is $V = A\times l$, where $A$ is the base area and $l = 17$.
$V = 49\times17 = 833$.

Answer:

833