​ A Concrete Reservoir in the Shape of a Triangular Prism

question 199

Short Answer

​
A concrete reservoir in the shape of a triangular prism is being filled with water at the constant rate of 1 cubic feet per minute.The reservoir is 4 feet deep,measures 6 feet across the top,and is 30 feet long,as shown in the figure below.For any time ,let represent the depth of the water in the reservoir,and let represent the width of the rectangular region of water at the top.
​ a = 30 ft
b = 6 ft
c = 4​ ft
​
-​If the reservoir is initially empty,how long will it take to fill completely? Round your answer to the nearest whole number.

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