Associated Topics || Dr. Math Home || Search Dr. Math

### 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

```
Associated Topics:
High School Geometry
High School Higher-Dimensional Geometry
High School Practical Geometry

Search the Dr. Math Library:

 Find items containing (put spaces between keywords):   Click only once for faster results: [ Choose "whole words" when searching for a word like age.] all keywords, in any order at least one, that exact phrase parts of words whole words

Submit your own question to Dr. Math
Math Forum Home || Math Library || Quick Reference || Math Forum Search