Volume and capacity word problems for grade 5 | Worsheets library - Free Printable

Problem 1: Ashley's Water Bottles

Question: Before a party, Ashley bought a tray of 24 water bottles. Each bottle has a capacity of 12 oz. There are 30 guests, and each guest drinks 1 cup of water. Is there enough water for all the guests?

#### Solution:
1. Convert the capacity of each water bottle to cups:
- We know that 1 pint = 2 cups.
- Also, 1 pint = 16 ounces.
- Therefore, 1 cup = 8 ounces (since 16 ounces ÷ 2 = 8 ounces).
- Each water bottle has a capacity of 12 ounces.
- To convert 12 ounces to cups:
\[
\text{Cups per bottle} = \frac{12 \text{ ounces}}{8 \text{ ounces per cup}} = 1.5 \text{ cups}
\]

2. Calculate the total amount of water in cups:
- Ashley has 24 water bottles.
- Total cups of water:
\[
\text{Total cups} = 24 \text{ bottles} \times 1.5 \text{ cups per bottle} = 36 \text{ cups}
\]

3. Determine the total amount of water needed:
- There are 30 guests, and each guest drinks 1 cup of water.
- Total cups needed:
\[
\text{Total cups needed} = 30 \text{ guests} \times 1 \text{ cup per guest} = 30 \text{ cups}
\]

4. Compare the available water with the required water:
- Ashley has 36 cups of water.
- The guests need 30 cups of water.
- Since 36 cups > 30 cups, there is enough water for all the guests.

#### Final Answer for Problem 1:
\[
\boxed{\text{Yes, there is enough water for all the guests.}}
\]

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Problem 2: Josh's Fruit Punch

Question: Josh mixed 2 cartons of orange juice, 3 bottles of soda water, and 6 cans of cocktail fruit to make a fruit punch for the Christmas party. Each carton of juice is 1 gallon and 3 quarts. Each soda water bottle contains 4 quarts. The cans of cocktail fruit are 2 pints each. How much fruit punch did Josh make (measured in gallons)?

#### Solution:
1. Convert all measurements to gallons:

- Orange Juice:
- Each carton of orange juice is 1 gallon and 3 quarts.
- 1 gallon = 4 quarts.
- Therefore, 1 gallon and 3 quarts = \(1 + \frac{3}{4} = 1.75\) gallons.
- Josh used 2 cartons:
\[
\text{Total orange juice} = 2 \times 1.75 = 3.5 \text{ gallons}
\]

- Soda Water:
- Each bottle of soda water contains 4 quarts.
- 1 gallon = 4 quarts, so 4 quarts = 1 gallon.
- Josh used 3 bottles:
\[
\text{Total soda water} = 3 \times 1 = 3 \text{ gallons}
\]

- Cocktail Fruit:
- Each can of cocktail fruit is 2 pints.
- 1 quart = 2 pints, so 2 pints = 1 quart.
- 1 gallon = 4 quarts, so 1 quart = 0.25 gallons.
- Each can is 1 quart (or 0.25 gallons).
- Josh used 6 cans:
\[
\text{Total cocktail fruit} = 6 \times 0.25 = 1.5 \text{ gallons}
\]

2. Calculate the total volume of fruit punch:
- Total fruit punch:
\[
\text{Total fruit punch} = \text{Orange juice} + \text{Soda water} + \text{Cocktail fruit}
\]
\[
\text{Total fruit punch} = 3.5 + 3 + 1.5 = 8 \text{ gallons}
\]

#### Final Answer for Problem 2:
\[
\boxed{8}
\]

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Problem 3: Emily's Cream of Pumpkin Soup

Question: Emily made a pot of cream of pumpkin soup for Thanksgiving dinner. She poured the soup into 24 small soup bowls. She put 5 cups of cream in the soup. How much cream (measured in oz) is used for each small bowl of soup?

#### Solution:
1. Convert the total amount of cream to ounces:
- We know that 1 cup = 8 ounces.
- Emily used 5 cups of cream:
\[
\text{Total cream in ounces} = 5 \text{ cups} \times 8 \text{ ounces per cup} = 40 \text{ ounces}
\]

2. Determine the amount of cream per bowl:
- Emily poured the soup into 24 small bowls.
- Cream per bowl:
\[
\text{Cream per bowl} = \frac{40 \text{ ounces}}{24 \text{ bowls}} = \frac{40}{24} = \frac{5}{3} \approx 1.67 \text{ ounces}
\]

#### Final Answer for Problem 3:
\[
\boxed{\frac{5}{3} \text{ or approximately } 1.67 \text{ ounces}}
\]

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Final Answers:

1. \(\boxed{\text{Yes, there is enough water for all the guests.}}\)
2. \(\boxed{8}\)
3. \(\boxed{\frac{5}{3} \text{ or approximately } 1.67 \text{ ounces}}\)