How much work would it take to empty a 8 feet long trough wi

How much work would it take to empty a 8 feet long trough, with triangular ends, filled with water (62.5 lb/ft^3)

Solution

Here we have first calculate the volume of this figure, now as only one side of this triangular base is given in the figure that means ,it is an equilateral triangl and thus its area =0.4325(side)^2= 0.4325(3)^2 = 3.8925 ft^2

So the volume of this triangular prism = (area of base ) x height = 3.8925 x 8 = 31.14 ft^2

Now by rule, work done = pressure x volume. = 31.14 x pressure

So if we have known its pressure, we can easily get its work done to empty it. And I hope pressure will be given somewhere in its remaining part of its related question.

So put that value of pressuse in above formula and you will get your last answer.