Liquid measurement conversion worksheet for students to practice converting between cups, pints, quarts, and gallons.

Let's solve this step by step. The worksheet is about liquid measurements in the U.S. customary system, using the following conversion facts:

- 2 cups = 1 pint (pt)
- 2 pints = 1 quart (qt)
- 4 quarts = 1 gallon (gal)

This means:
- 1 gallon = 4 quarts = 8 pints = 16 cups

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✔ Part 1: Complete the table

We are given a grid with some values and need to fill in the blanks.

The columns represent different amounts of liquid in various units. Let's go row by row.

#### Row 1:
Given:
- $ \frac{1}{8} $ gal
- $ \frac{1}{4} $ gal
- $ \frac{1}{2} $ gal

We'll convert each to pints, quarts, cups, etc.

##### Convert $ \frac{1}{8} $ gal:
- $ \frac{1}{8} $ gal = $ \frac{1}{8} \times 4 $ qt = $ \frac{4}{8} $ = $ \frac{1}{2} $ qt
- $ \frac{1}{2} $ qt = $ \frac{1}{2} \times 2 $ pt = 1 pt
- 1 pt = 2 cups

So:
- $ \frac{1}{8} $ gal = 1/2 qt, 1 pt, 2 cups

##### Convert $ \frac{1}{4} $ gal:
- $ \frac{1}{4} $ gal = $ \frac{1}{4} \times 4 $ qt = 1 qt
- 1 qt = 2 pt
- 2 pt = 4 cups

So:
- $ \frac{1}{4} $ gal = 1 qt, 2 pt, 4 cups

##### Convert $ \frac{1}{2} $ gal:
- $ \frac{1}{2} $ gal = $ \frac{1}{2} \times 4 $ qt = 2 qt
- 2 qt = 4 pt
- 4 pt = 8 cups

So:
- $ \frac{1}{2} $ gal = 2 qt, 4 pt, 8 cups

Now let’s fill in the first row:

| $ \frac{1}{8} $ gal | $ \frac{1}{4} $ gal | $ \frac{1}{2} $ gal | | |
|------------------------|------------------------|------------------------|---|---|
| 0.5 qt | 1 qt | 2 qt | | |
| 1 pt | 2 pt | 4 pt | | |
| 2 cups | 4 cups | 8 cups | | |

But we have more rows to complete.

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#### Row 2: Given "2 quarts"

We need to find:
- How many gallons?
- How many pints?
- How many cups?

##### 2 quarts:
- 2 qt = $ \frac{2}{4} $ = $ \frac{1}{2} $ gal
- 2 qt = 4 pt
- 4 pt = 8 cups

So:
- 2 quarts = 1/2 gal, 4 pt, 8 cups

Wait — but $ \frac{1}{2} $ gal already exists in the third column. So this row must be filled in the third column.

So in the third column, we already have:
- $ \frac{1}{2} $ gal → 2 quarts → 4 pints → 8 cups

So row 2 is just filling that in.

But now we have fourth column: “8 pints”

#### Row 3: Given “1 pint”

Convert 1 pint:
- 1 pt = $ \frac{1}{2} $ qt
- $ \frac{1}{2} $ qt = $ \frac{1}{2} \div 4 $ = $ \frac{1}{8} $ gal
- 1 pt = 2 cups

So:
- 1 pint = 1/8 gal, 1/2 qt, 2 cups

So this goes into the first column.

Wait — but we already have $ \frac{1}{8} $ gal in the first column. So this row should go under it.

So row 3 is:
- 1 pint → corresponds to $ \frac{1}{8} $ gal, $ \frac{1}{2} $ qt, 2 cups

So far we have:

| $ \frac{1}{8} $ gal | $ \frac{1}{4} $ gal | $ \frac{1}{2} $ gal | ? | ? |
|------------------------|------------------------|------------------------|---|---|
| 0.5 qt | 1 qt | 2 qt | | |
| 1 pt | 2 pt | 4 pt | | |
| 2 cups | 4 cups | 8 cups | | |

Now look at row 3: “1 pint” — already filled above.

Now row 4: “4 cups”

4 cups = 2 pints = 1 quart = $ \frac{1}{4} $ gal

So 4 cups → 2 pt → 1 qt → $ \frac{1}{4} $ gal

So this fits in the second column.

Similarly, row 5: “16 cups”

16 cups = 8 pints = 4 quarts = 1 gallon

So 16 cups → 8 pt → 4 qt → 1 gal

And last: “32 cups”

32 cups = 16 pints = 8 quarts = 2 gallons

So 32 cups → 16 pt → 8 qt → 2 gal

Now we can build the full table.

Let’s label the columns:

Let’s assume the columns are:
- Column 1: $ \frac{1}{8} $ gal
- Column 2: $ \frac{1}{4} $ gal
- Column 3: $ \frac{1}{2} $ gal
- Column 4: ?
- Column 5: ?

From earlier:
- 8 pints = 4 quarts = 1 gallon → so 8 pints = 1 gal
- 16 cups = 8 pints = 4 quarts = 1 gallon → same
- 32 cups = 2 gallons

So:
- 8 pints = 1 gal → so column 4 is 1 gal
- 32 cups = 2 gal → so column 5 is 2 gal

Now let’s fill the whole table.

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✔ Final Table:

| $ \frac{1}{8} $ gal | $ \frac{1}{4} $ gal | $ \frac{1}{2} $ gal | 1 gal | 2 gal |
|------------------------|------------------------|------------------------|-------|-------|
| $ \frac{1}{2} $ qt | 1 qt | 2 qt | 4 qt | 8 qt |
| 1 pt | 2 pt | 4 pt | 8 pt | 16 pt |
| 2 cups | 4 cups | 8 cups | 16 cups | 32 cups |

Let’s verify:
- $ \frac{1}{8} $ gal = 0.5 qt = 1 pt = 2 cups ✔
- $ \frac{1}{4} $ gal = 1 qt = 2 pt = 4 cups ✔
- $ \frac{1}{2} $ gal = 2 qt = 4 pt = 8 cups ✔
- 1 gal = 4 qt = 8 pt = 16 cups ✔
- 2 gal = 8 qt = 16 pt = 32 cups ✔

Perfect.

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✔ Part 2: Convert the following

We’ll use:
- 1 pt = 2 cups
- 1 qt = 2 pt = 4 cups
- 1 gal = 4 qt = 8 pt = 16 cups

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1. 30 pints = ___ cups
→ 30 × 2 = 60 cups

2. 30 pints = ___ cups
→ Same as #1 → 60 cups

3. 3 gal = ___ quarts
→ 3 × 4 = 12 quarts

4. 16 quarts = ___ pints
→ 16 × 2 = 32 pints

5. 26 pints = ___ quarts
→ 26 ÷ 2 = 13 quarts

6. 21 quarts = ___ cups
→ 21 × 4 = 84 cups

7. 102 cups = ___ pints
→ 102 ÷ 2 = 51 pints

8. 32 quarts = ___ gallons
→ 32 ÷ 4 = 8 gallons

9. 56 pints = ___ gallons
→ First convert to quarts: 56 ÷ 2 = 28 quarts
→ Then to gallons: 28 ÷ 4 = 7 gallons

10. 68 cups = ___ quarts
→ 68 ÷ 4 = 17 quarts

11. 72 quarts = ___ gallons
→ 72 ÷ 4 = 18 gallons

12. 3 gal = ___ gallons
→ Already in gallons → 3 gallons

13. 32 pints = ___ gallons
→ 32 ÷ 8 = 4 gallons
(since 1 gal = 8 pints)

14. 6 quarts = ___ cups
→ 6 × 4 = 24 cups

15. 12 quarts = ___ gallons
→ 12 ÷ 4 = 3 gallons

16. 26 pints = ___ gallons
→ 26 ÷ 8 = 3.25 gallons
→ Or as fraction: $ \frac{26}{8} = \frac{13}{4} = 3\frac{1}{4} $ gallons
→ 3.25 gallons or $ 3\frac{1}{4} $ gallons

17. 24 cups = ___ gallons
→ 24 ÷ 16 = 1.5 gallons or $ \frac{3}{2} $ gallons

18. 20 pints = ___ gallons
→ 20 ÷ 8 = 2.5 gallons or $ 2\frac{1}{2} $ gallons

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✔ Final Answers:

#### Part 1: Completed Table

| $ \frac{1}{8} $ gal | $ \frac{1}{4} $ gal | $ \frac{1}{2} $ gal | 1 gal | 2 gal |
|------------------------|------------------------|------------------------|-------|-------|
| $ \frac{1}{2} $ qt | 1 qt | 2 qt | 4 qt | 8 qt |
| 1 pt | 2 pt | 4 pt | 8 pt | 16 pt |
| 2 cups | 4 cups | 8 cups | 16 cups | 32 cups |

#### Part 2: Conversions

1. 60 cups
2. 60 cups
3. 12 quarts
4. 32 pints
5. 13 quarts
6. 84 cups
7. 51 pints
8. 8 gallons
9. 7 gallons
10. 17 quarts
11. 18 gallons
12. 3 gallons
13. 4 gallons
14. 24 cups
15. 3 gallons
16. 3.25 gallons (or $ 3\frac{1}{4} $)
17. 1.5 gallons (or $ \frac{3}{2} $)
18. 2.5 gallons (or $ 2\frac{1}{2} $)

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