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The fuel tank on a truck has trapezoidal cross sections with the dimensions (in feet) shown in the figure. Assume that the engine is approximately 3 feet above the top of the fuel tank and that diesel fuel weighs approximately 53.1 pounds per cubic foot. Find the work done by the fuel pump in raising a full tank of fuel to the level of the engine.


Given: The fuel tank on a truck has trapezoidal cross sections with the dimensions (in feet).
To find: The work done by the fuel pump in raising a full tank of fuel to the level of the engine.
The right side of the fuel tank is a line that contains points
The slope of the equation consisting of these two points is given by-
Hence, the equation becomes-
As seen from the graph below-
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