**High School Number Sense Lesson 15: Converting Volume between English Units**

On number sense tests, it is important to know how to convert between cups, pints, quarts, etc. So important, in fact, that this concept was tested

**16 times**this year--always somewhere

**between questions 12 & 19**(inclusive).

**Number Dojo Level: 59**

Like our lesson on distance, most of these conversions are very commonly used. But other units that are occasionally tested have fallen out of everyday use. We will cover them all here anyway--and they are included in the worksheet below as well.

**The Basic Conversions**

**1 cup = 8 fluid ounces**

**1 pint = 2 cups**= 16 ounces

**1 quart = 2 pints**= 4 cups = 32 ounces

**1 gallon = 4 quarts**= 8 pints = 16 cups = 128 ounces

**Dry Goods**(Think about Fruit & Vegetables)

**1 peck = 2 gallons**

**1 bushel = 4 pecks**= 8 gallons

**How to Convert between Units**

- To go from a smaller unit (like pint) to a larger one (like quart),
**divide**by the conversion factor (in this case, 2). - To go from a larger unit (like gallon) to a smaller one (like cup),
**multiply**by the conversion factor (in this case, 16). - To convert to a unit more than one step away (for example, from quarts to ounces), it may be easier to convert one step at a time (in this example, from quarts to cups and then from cups to ounces).

**Example 1: 18 pints = ___ quarts**

- Consider your conversion factor: 2 pints = 1 quart.
- You are going from a smaller unit to a larger one. Divide by your conversion factor. 18 ÷ 2 =
**9**.

**Example 2: 1/2 gallon = ___ ounces**

- Consider your conversion factor: 1 gallon = 128 ounces.
- You are going from a larger unit to a smaller one. Multiply by your conversion factor. 1/2 x 128 =
**64**.

**Example 3: 19 pints = ___ gallon(s)**

- Consider your conversion factor: 8 pints = 1 gallon.
- You are going from a smaller unit to a larger one. Divide by your conversion factor. 19 ÷ 8 =
**19/8 or 2 3/8**.

**Example 4: 1 quart plus 2 pints = ___ cups**

- It may be easier to convert each unit to cups and then add at the end: 1 quart = 4 cups and 1 pint = 2 cups.
- Multiply by your conversion factor. 1 quart x 4 cups/quart =
**4**cups, and 2 pints x 2 cups/pint =**4**cups. - 4 cups + 4 cups =
**8**cups.

**Example 5: 1 gallon - 5 pints = ___ ounces**

- This time, we'll try converting one step at a time. 1 gallon = 8 pints.
- 8 pints - 5 pints = 3 pints.
- Each pint has 16 ounces. Multiply by your conversion factor. 3 x 16 =
**48**ounces.

**Example 6: 2 pecks is equivalent to ___ quarts**

- Let's take this in two conversion steps. 1 peck = 2 gallons.
- Multiply by your conversion factor: 2 pecks x 2 gallons/peck = 4 gallons.
- Multiply by your conversion factor: 4 gallons x 4 quarts/gallon =
**16**quarts.

**Example 7: 1 bushel + 1 peck + 1 gallon + 1 quart = ___ pints**

- Let's convert as we go along. 1 bushel = 4 pecks.
- 4 pecks + 1 peck = 5 pecks. 1 peck = 2 gallons. 5 pecks = 10 gallons.
- 10 gallons + 1 gallon = 11 gallons. 1 gallon = 4 quarts. 11 gallons = 44 quarts.
- 44 quarts + 1 quart = 45 quarts. 1 quart = 2 pints.
- 45 quarts =
**90**pints.

**Here's a free worksheet to help you practice ConvVolume:**

convvolume.pdf |

**Up Next for High School: CompareDeciF**