Grade 5 worksheet on capacity conversion with a table and word problems.

Let’s solve this step by step.

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Part 1: Complete the Capacity Conversion Table

We are given the conversion:

> 1 gallon = 4 quarts = 8 pints = 16 cups = 128 fluid ounces

This means we can convert between units using these ratios.

Let’s fill in the table row by row, column by column.

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#### Column 1: Gallon = ?

We’re given Quart = 8 → So, how many gallons is that?

Since 1 gallon = 4 quarts,

→ Gallons = 8 quarts ÷ 4 = 2 gallons

Now, find Pints: 1 gallon = 8 pints → 2 gallons = 2 × 8 = 16 pints

Cups: 1 gallon = 16 cups → 2 gallons = 2 × 16 = 32 cups

Fluid ounces: 1 gallon = 128 fl oz → 2 gallons = 2 × 128 = 256 fl oz

✔ Column 1:
Gallon: 2
Quart: 8
Pint: 16
Cup: 32
Fluid ounce: 256

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#### Column 2: Gallon = 4

Given: Gallon = 4

Quarts: 4 gal × 4 = 16 quarts

Pints: 4 gal × 8 = 32 pints

Cups: 4 gal × 16 = 64 cups

Fluid ounces: 4 gal × 128 = 512 fl oz

✔ Column 2:
Gallon: 4
Quart: 16
Pint: 32
Cup: 64
Fluid ounce: 512

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#### Column 3: Gallon = 0.25

0.25 gallon = 1/4 gallon

Quarts: 0.25 × 4 = 1 quart

Pints: 0.25 × 8 = 2 pints

Cups: 0.25 × 16 = 4 cups

Fluid ounces: 0.25 × 128 = 32 fl oz

✔ Column 3:
Gallon: 0.25
Quart: 1
Pint: 2
Cup: 4
Fluid ounce: 32

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#### Column 4: Cup = 12

We need to find all other units based on 12 cups.

First, find gallons:

1 gallon = 16 cups → so 12 cups = 12/16 = 0.75 gallons

Quarts: 1 quart = 4 cups → 12 cups ÷ 4 = 3 quarts

Pints: 1 pint = 2 cups → 12 cups ÷ 2 = 6 pints

Fluid ounces: 1 cup = 8 fl oz → 12 cups × 8 = 96 fl oz

✔ Column 4:
Gallon: 0.75
Quart: 3
Pint: 6
Cup: 12
Fluid ounce: 96

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✔ Final Completed Table:

| Gallon | 2 | 4 | 0.25 | 0.75 |
|-----------|-------|-------|-------|-------|
| Quart | 8 | 16 | 1 | 3 |
| Pint | 16 | 32 | 2 | 6 |
| Cup | 32 | 64 | 4 | 12 |
| Fluid ounce | 256 | 512 | 32 | 96 |

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Part 2: Word Problems

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#### 1. Trisha brought 2.5 gal of juice to a party. How many cups of juice did she bring?

We know: 1 gallon = 16 cups

→ 2.5 gal × 16 = 40 cups

✔ Answer: 40 cups

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#### 2. Paola bought 6 qt of ice cream. How many pints of ice cream did she buy?

We know: 1 quart = 2 pints

→ 6 qt × 2 = 12 pints

✔ Answer: 12 pints

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#### 3. Rebecca used 4.25 pt of milk in her baking recipe. How many cups of milk did she use?

We know: 1 pint = 2 cups

→ 4.25 pt × 2 = 8.5 cups

✔ Answer: 8.5 cups

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#### 4. Lily prepared 356 cups of water for an event. How many gallons of water did she prepare?

We know: 1 gallon = 16 cups

→ 356 cups ÷ 16 = 22.25 gallons

✔ Answer: 22.25 gallons

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#### 5. If 1 bottle holds 2 qt, how many fluid ounces would 10 bottles hold?

Step 1: Find total quarts for 10 bottles → 10 × 2 qt = 20 quarts

Step 2: Convert quarts to fluid ounces.

We know:
1 quart = 2 pints
1 pint = 2 cups
1 cup = 8 fl oz
→ So, 1 quart = 2 × 2 × 8 = 32 fl oz

Therefore, 20 quarts × 32 fl oz/qt = 640 fl oz

✔ Answer: 640 fluid ounces

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✔ Final Answers Summary:

Table:

| Gallon | 2 | 4 | 0.25 | 0.75 |
|-----------|-------|-------|-------|-------|
| Quart | 8 | 16 | 1 | 3 |
| Pint | 16 | 32 | 2 | 6 |
| Cup | 32 | 64 | 4 | 12 |
| Fluid ounce | 256 | 512 | 32 | 96 |

Word Problems:

1. 40 cups
2. 12 pints
3. 8.5 cups
4. 22.25 gallons
5. 640 fluid ounces

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Let me know if you’d like a visual diagram or further explanation!