Find the volume and solve the application.

A mason's assistant's rate of pay is $0.95 per cubic foot of earth moved. He digs a trench 2.5 ft. wide by 2 ft. deep by 150 ft. in length. What is his pay for this job?

712.50

789.47

855.00

947.36

The trench has the shape of a rectangular prism.

The volume of a rectangular prism is

V = length * width * height, or simply

V = LWH

We now use the given dimensions in the formula to find the volume,

V = 150 ft * 2.5 ft * 2 ft = 750 ft^3

The volume of the tranch is 750 ft^3.

The assistant is paid $0.95 per cubic foot, so we now multiply this unit rate by the total number of cubic feet in the trench.

pay = unit rate * volume

pay = $0.95 / (ft^3) * 750 ft^3 = $712.50

Answer: The assistant is paid $712.50.

The answer choice is 213.75