## Area, Cubic Volume and Volume-to-Liter Conversion Worksheets

This week’s new worksheets are a natural follow-on to last week’s conversion worksheets using unity fractions. These worksheets present problems of conversion between metric areas and volumes; in other words problems dealing with square or cubic meter-based units. The last few worksheet sets go further into conversions between cubic volumes and liter-base unit measurements. You can find the new worksheets here…

Metric Area and Cubic Volume Conversion Worksheets

These problems can get lengthy, and I’ve received some feedback that this approach seems slightly complex for introducing elementary conversions. However, as I pointed out in the previous post, this is the fundamental mechanism used for unit conversions in chemistry and physics classes so learning the skills on more basic problems is a big help for scoring good grades in science classes. I still remember Professor Vanosdall’s voice booming, “Cancel the units!” from my AP Chemistry class. You should start to see how unity fractions make these conversion manageable in the cubic-volume-to-liters worksheets.

## Metric Unit Conversion Worksheets Now Available

We’re moving up the grades, and the line between math and science classes is starting to blur. For my oldest daughter, this is the first year of chemistry. All of these years I’ve been saying, “You’re going to use math a lot in science class,” and I’m finally starting to look smart in a young girl’s eyes. So say hello, friends, to unity fractions and the metric conversion worksheets!

We typically learn conversions for jumping easily between common units, especially in the metric system where most conversions are just a matter of multiplying or dividing by some power of ten. However, these simple conversions start to break down where the conversions become more complex. Quick, can you convert 64 decaliters into centiliters? No? Yeah, well me either.

The way around this is unity fractions. Each unity fraction expresses a conversion from base units (think meters, liters or grams for starters) to derived units (milliunits, centiunits, kilounits, etc.). By stringing more than one unity fraction together, you can easily convert from one derived unit to another. Units and factors of ten cross-cancel, just like with fraction multiplication, and the process can be extended easily to cover square or cubic units.

To get things started, I’ve posted conversion worksheets for distance (meters), mass (grams) and volume (liters), but you can look forward to more worksheets soon that cover conversions between different classes of units as well as imperial measurements. For now, you can find the new worksheets at the links here…

Metric Length Conversion Worksheets

Metric Mass Conversion Worksheets

Metric Volume Conversion Worksheets

As always, if you find these worksheets or any others useful, please consider clicking the Google “+1″ button near the top of the page to let others know. Your support of the site is much appreciated!