Solving Capacity Word Problems
Solving Capacity Word Problems is a Grade 4 math skill in enVision Mathematics, Chapter 13: Measurement: Find Equivalence in Units of Measure. Students use customary unit conversions (gallons, quarts, pints, cups, fluid ounces) to solve real-world capacity problems.
Key Concepts
Property To solve word problems involving customary units of capacity, use the following conversion factors: 1 gallon ($gal$) = 4 quarts ($qt$) 1 quart ($qt$) = 2 pints ($pt$) 1 pint ($pt$) = 2 cups ($c$) 1 cup ($c$) = 8 fluid ounces ($fl$ $oz$).
Examples A recipe for lemonade requires 3 quarts of water. How many pints of water are needed? $$3 \text{ qt} \times \frac{2 \text{ pt}}{1 \text{ qt}} = 6 \text{ pt}$$ A water cooler holds 5 gallons of water. If students have already drunk 8 quarts, how many quarts of water are left? $$5 \text{ gal} = 5 \times 4 = 20 \text{ qt}$$ $$20 \text{ qt} 8 \text{ qt} = 12 \text{ qt}$$.
Explanation Solving word problems with customary units of capacity often involves converting between units to compare quantities or find a total. First, identify the units given in the problem and the unit required for the answer. Then, use the appropriate conversion factor to change the units, remembering to multiply when converting from a larger unit to a smaller one. Finally, perform any necessary calculations like addition or subtraction to solve the problem.
Common Questions
What are the customary units of capacity?
The customary units of capacity from largest to smallest are: 1 gallon equals 4 quarts, 1 quart equals 2 pints, 1 pint equals 2 cups, and 1 cup equals 8 fluid ounces.
How do you convert gallons to quarts?
Multiply the number of gallons by 4 to convert to quarts. For example, 5 gallons equals 5 times 4 equals 20 quarts.
How do you solve capacity word problems?
Identify the units given and the unit needed for the answer. Use the appropriate conversion factor to change units, multiplying when going from larger to smaller units, then perform any additional calculations.
What is an example of a capacity word problem?
A recipe needs 3 quarts of water. How many pints is that? Multiply: 3 quarts times 2 pints per quart equals 6 pints.
What chapter covers capacity word problems in enVision Mathematics Grade 4?
Capacity word problems are covered in Chapter 13: Measurement: Find Equivalence in Units of Measure in enVision Mathematics Grade 4.