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Lesson 6: Converting units of volume

# US Customary units of volume review (c, pt, qt, & gal)

Review the size of cups, pints, quarts, and gallons and how to convert between them.  Then, try some practice problems.

## Summary of customary units of volume

CupsPintsQuartsGallons
1684start color #e07d10, 1, end color #e07d10
42start color #e07d10, 1, end color #e07d10start fraction, 1, divided by, 4, end fraction
2start color #e07d10, 1, end color #e07d10start fraction, 1, divided by, 2, end fractionstart fraction, 1, divided by, 8, end fraction
start color #e07d10, 1, end color #e07d10start fraction, 1, divided by, 2, end fractionstart fraction, 1, divided by, 4, end fractionstart fraction, 1, divided by, 16, end fraction

### What is volume?

Volume measures capacity. For example, the volume of a bowl is the amount of space inside the bowl or how much water, for example it would take to fill the bowl.
In the US customary system of measurement, the most common units of volume are cups, pints, quarts and gallons.

### How big are customary units of volume?

A juice box contains about 1 cup of liquid.
A pint is equal to 2 cups. A water bottle contains about 1 pint of liquid.
A quart is equal to 2 pints. A large shampoo bottle contains about 1 quart of liquid.
A gallon is equal to 4 quarts. A milk jug contains about 1 gallon of liquid.

## Practice set 1: Estimating volume

Problem 1A
• Current
Identify the most reasonable unit to measure the volume of a glass of orange juice.

Want to try more problems like this? Check out this exercise,

## Converting larger units to smaller units

1, start text, space, p, i, n, t, end text, equals, start color #1fab54, 2, end color #1fab54, start text, space, c, u, p, s, end text
1, start text, space, q, u, a, r, t, end text, equals, start color #1fab54, 4, end color #1fab54, start text, space, c, u, p, s, end text
1, start text, space, q, u, a, r, t, end text, equals, start color #1fab54, 2, end color #1fab54, start text, space, p, i, n, t, s, end text
1, start text, space, g, a, l, l, o, n, end text, equals, start color #1fab54, 4, end color #1fab54, start text, space, q, u, a, r, t, s, end text
To convert larger units to smaller units we multiply the number of larger units by the green conversion factor for the appropriate smaller units.
Example: Converting gallons to quarts
1, start text, space, g, a, l, l, o, n, end text, equals, start color #1fab54, 4, end color #1fab54, start text, space, q, u, a, r, t, s, end text
start color #11accd, 2, end color #11accd, start text, space, g, a, l, l, o, n, s, end text, equals, start color #11accd, 2, end color #11accd, times, start color #1fab54, 4, end color #1fab54, equals, 8, start text, space, q, u, a, r, t, s, end text
Example: Converting pints to cups
1, start text, space, p, i, n, t, end text, equals, start color #1fab54, 2, end color #1fab54, start text, space, c, u, p, s, end text
start color #11accd, 8, end color #11accd, start text, space, p, i, n, t, s, end text, equals, start color #11accd, 8, end color #11accd, times, start color #1fab54, 2, end color #1fab54, equals, 16, start text, space, c, u, p, s, end text

## Converting smaller units to larger units

1, start text, space, c, u, p, end text, equals, start fraction, 1, divided by, start color #9d38bd, 2, end color #9d38bd, end fraction, start text, space, p, i, n, t, end text
1, start text, space, p, i, n, t, end text, equals, start fraction, 1, divided by, start color #9d38bd, 2, end color #9d38bd, end fraction, start text, space, q, u, a, r, t, end text
1, start text, space, q, u, a, r, t, end text, equals, start fraction, 1, divided by, start color #9d38bd, 4, end color #9d38bd, end fraction, start text, space, g, a, l, l, o, n, end text
To convert smaller units to larger units we divide the number of smaller units by the purple conversion factor for the appropriate larger units.
Example: Converting pints to quarts
1, start text, space, p, i, n, t, end text, equals, start fraction, 1, divided by, start color #9d38bd, 2, end color #9d38bd, end fraction, start text, space, q, u, a, r, t, end text
start color #ff00af, 12, end color #ff00af, start text, space, p, i, n, t, s, end text, equals, start fraction, start color #ff00af, 12, end color #ff00af, divided by, start color #9d38bd, 2, end color #9d38bd, end fraction, equals, start color #ff00af, 12, end color #ff00af, divided by, start color #9d38bd, 2, end color #9d38bd, equals, start color #6495ed, 6, end color #6495ed, start text, space, q, u, a, r, t, s, end text

## Practice set 2: Converting units of volume

Problem 2A
• Current
Convert.
5 quarts equals
cups

Want to try more problems like this? Check out these exercises:
Convert larger units to smaller units
Converting between units