The volume of the given trapezoidal prism is 312 cubic units.
Step-by-step explanation:
Step 1:
To find the volume of a trapezoidal prism, we multiply the area of the trapezoidal surface with the height of the prism.
The area of a trapezoidal surface, 
a and b are the lengths of the upper and lower bases and h is the height of the trapezoid.
For the given trapezoid, a is 5 units long and b is 8 units long while height, h is 4 units.
The area of the trapezoidal surface, 
So the area of the trapezoidal surface is 26 square units.
Step 2:
To determine the volume of the prism, we multiply the area of the trapezoidal surface with the height of the prism.
The area is 26 square units and the height of the prism is 12 units.
The volume of the prism, 
The volume of the given trapezoidal prism is 312 cubic units.
Answer:


Step-by-step explanation:
The given equation is in the form 
We have to evaluate the correct system of equations which can be used to find the roots of the equation.
We can find the root of the equation by plotting the graph of the equations. In order to graph, we can assume the left and right hand side of the given equation as two separate equations.
Therefore, we have


Now, we plot the graph of these two equations in the same coordinate plane. The intersection point (s) would be the roots of the given equation.
Hence, the system of equation that we can use to find the root of the given equation is


Last option is correct.