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## Converting Units of Capacity Problems

#### Grade 5 Measurement - 5.MD.C.3b

Tips for Converting Units of Capacity - Ever since the world of physics came up with the idea of having SI units, an internationally accepted system of units, there has been a need for making those units small and large to measure quantities of smaller or larger magnitude. For example, to measure the width of a hair or the volume of an atom, we cannot use units like cubic meter. It would be really hard to express the magnitude of such a small scale using a unit relatively that big. For that purpose, we use prefixes that make units small or big as required. And with the use of prefixes, comes the need for conversions. Mili, centi, deci, kilo, mega, tera, etc are a few examples of prefixes. The conversion between these prefixes is quite simple. Each of these prefixes has a factor of ‘1000’ between them. To switch from one prefix to another, you wither divide or multiply it by 1000. Here is an example: To express 1 gram in kilograms, we divide it by 1000. The reason being that ‘kilo’ is a prefix that increases the magnitude of a gram; hence is a larger prefix. Whenever we move from a smaller prefix or standard unit to a larger prefix unit, we divide. Contrarily, when we move from a larger prefix or standard unit to a smaller prefix unit, we multiply. This same technique is applied in the case of units of capacity as well as all other cases. There are other conversions as well, such as conversions between different units of the same quantity, for example, meter, foot, and yard are all the same quantities for length. These worksheets will help students learn to calculate capacity and convert between units of capacity.

### Printable Worksheets And Lessons  #### Homework Sheets

Just about every unit of volume I have ever heard of outside of units to measure oceans and lakes.

#### Practice Worksheets

I tried to mimic the format that you would see on a test with these.

• Practice 1 - Tom wants water to wash car. How much water is needed?
• Practice 2 - Maria wants to make rice. How much water will he probably use to cook?
• Practice 3 - Convert each quantity into the given units. 9 gallons = _____ pints

#### Math Skill Quizzes

These are the units that you should know cold. I realize that many teachers are stressing memorization rather than cross multiplying.

• Quiz 1 - 62 ounces = _____ cups
• Quiz 2 - John wants to drive a car from his office to home. How much fuel is he mostly likely to buy from fuel station?
• Quiz 3 - One more straight up unit conversion for you.