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### Converting Between Cubic Feet and Cubic Yards

```Date: 05/09/2002 at 21:45:26
From: Janice
Subject: Metric Conversion

How many cubic feet are in a cubic yard and how do I figure this
out?
```

```
Date: 05/10/2002 at 10:09:03
From: Doctor Ian
Subject: Re: Metric Conversion

Hi Janice,

One way to do it would be to draw a cubic yard - that is, a cube
where each edge is a yard long:

+-----------+
/           /|
/           / |
/           /  |  1 yard
/           /   |
/           /    |
+-----------+     +
|           |    /
|           |   /
|           |  /  1 yard
|           | /
|           |/
+-----------+
1 yard

Then divide it into cubic feet - that is, a bunch of cubes where
each edge is a foot long:

+---+---+---+
/   /   /   /|
+---+---+---+ +
/   /   /   /|/|
+---+---+---+ + +
/   /   /   /|/|/|
+---+---+---+ + + +
|   |   |   |/|/|/
+---+---+---+ + +
|   |   |   |/|/
+---+---+---+ +
|   |   |   |/
+---+---+---+

How many of the smaller cubes fit in to the larger cube?  That's
the number of cubic feet in a cubic yard.

Does this help?

- Doctor Ian, The Math Forum
http://mathforum.org/dr.math/
```
Associated Topics:
Middle School Higher-Dimensional Geometry
Middle School Terms/Units of Measurement

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