Capcity word problem 5th grade

Key Concept for Students: Remind students that capacity is the amount a container can hold. Common units of capacity are milliliters (mL), liters (L), cups (C), pints (pt), quarts (qt), and gallons (gal). It's helpful to review conversions between these units if they haven't recently.

Problem 1:

A juice box holds 250 milliliters of juice. If Mrs. Smith buys 12 juice boxes for her class, how many liters of juice does she have in total?

Solution 1:

• First, find the total milliliters of juice: 250 mL/box×12 boxes=3000 mL

• Next, convert milliliters to liters: 1 L=1000 mL

• So, 3000 mL÷1000 mL/L=3 L

Mrs. Smith has 3 liters of juice in total.

Problem 2:

A large bottle of water contains 2 liters of water. If John drinks 500 mL of water and his sister drinks 750 mL of water from the bottle, how much water is left in the bottle?

Solution 2:

• First, convert the total liters to milliliters: 2 L×1000 mL/L=2000 mL

• Next, find the total amount of water drunk: 500 mL+750 mL=1250 mL

• Finally, subtract the amount drunk from the total: 2000 mL−1250 mL=750 mL

There are 750 mL of water left in the bottle.

Problem 3:

Sarah is making lemonade. Her recipe calls for 3 cups of water, 1 cup of lemon juice, and 1/2 cup of sugar. If she wants to double the recipe, how many quarts of lemonade will she make? (Hint: 4 cups = 1 quart)

Solution 3:

• First, find the total amount of ingredients for a single batch: 3 cups (water)+1 cup (lemon juice)+0.5 cups (sugar)=4.5 cups

• Next, double the recipe: 4.5 cups×2=9 cups

• Finally, convert cups to quarts: 9 cups÷4 cups/quart=2.25 quarts

Sarah will make 2.25 quarts of lemonade.

Problem 4:

A swimming pool holds 10,000 gallons of water. If a hose fills the pool at a rate of 500 gallons per hour, how many hours will it take to fill the entire pool?

Solution 4:

• Divide the total capacity by the filling rate: 10,000 gallons÷500 gallons/hour=20 hours

It will take 20 hours to fill the entire pool.

Problem 5:

A baker uses 2 pints of milk for a cake recipe. If he wants to make 4 cakes, how many gallons of milk will he need? (Hint: 2 pints = 1 quart, 4 quarts = 1 gallon)

Solution 5:

• First, find the total pints of milk needed: 2 pints/cake×4 cakes=8 pints

• Next, convert pints to quarts: 8 pints÷2 pints/quart=4 quarts

• Finally, convert quarts to gallons: 4 quarts÷4 quarts/gallon=1 gallon

The baker will need 1 gallon of milk.