**Middle School Number Sense Lesson 111: Converting Gallons to Cubic Inches**

This concept appeared

**2 times**this year, with a median placement at

**question # 65**.

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**Number Dojo Level: 185**

We have already established that a gallon is equivalent to 128 fluid ounces. But we also need to know (because the number sense test writers

*said so*) that a gallon is equivalent to

**231 cubic inches**. We may be asked to convert either direction.

The number 231 happens to be

**3 x 7 x 11**, and I have seen questions using different combinations of those factors.

- 3 x 77 = 231
- 7 x 33 = 231
- 11 x 21 = 231

Here are a few examples.

**Example 1: 1/11 gallon = ___ cubic inch(es)**

- Multiply by 231
- 1/11 x 231 = 231 ÷ 11 =
**21**

**Example 2: 77 cubic inches = ___ gallon(s)**

- Divide by 231
- 77 ÷ 231 =
**1/3**

**Example 3: 1/7 gallon = ___ cubic inch(es)**

- Multiply by 231
- 1/7 x 231 = 231 ÷ 7 =
**33**

**Example 4: 693 cubic inches = ___ gallon(s)**

- Divide by 231
- 693 ÷ 231 =
**3**

**Example 5: 3/7 of a gallon = ___ cubic inches**

- Multiply by 231
- 3/7 x 231 = 231 ÷ 7 x 3 = 33 x 3 =
**99**

**Example 6: * 143 gallon = ___ cubic inches**

- Multiply by 231
- 143 is exactly 1001 ÷ 7. So divide 231 by 7 (which is 33) and multiply by 1001.
- 33 x 1001 =
**33033**

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

convgaltoinch.pdf |

**Up Next for Middle School: Cylinder**