How Many Liters of Water Does a Pool Hold?Date: 12/4/95 at 2:0:59 From: Anonymous Subject: Word problem I have no idea how to even approach this problem: A swimmer's pool's surface forms a rectangle that measures 25 meters long by 15 by 15 meters wide. The pool is 2 meters deep at the shallow end and the depth increases at a constant rate to four meters at the other end. How many liters of water will the pool hold? Date: 1/18/96 at 11:25:18 From: Doctor Ethan Subject: Re: Word problem I will give you an idea how to approach this problem. A cross section of the pool looks like this. #~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~# # # # # # # ######### # ######## # ######## # ######### I know the bottom isn't straight, but that is the best that I can do. So we want to find the area of this shape. Well, the easiest way to do that is to divide it into a rectangle and a triangle. The upper rectangle has an area of 50 sq. meters and the triangle has an area of 25 sq meters. Do you see how I got that?? Once we have that, then we can multiply it by the width to get the total volume. That should do it. Hope that this helped. -Doctor Ethan, The Geometry Forum |
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