Imperial Volume Units (cups, pints, gallons)

Show your work for each problem.

1.
Which unit is the most sensible for measuring the water in a full bathtub?
1. a)Gallons
2. b)Cups
3. c)Teaspoons
4. d)Fluid ounces
Answer: Gallons
A bathtub holds a lot of water, so the biggest unit, the gallon, gives a sensible number (about $40$ gallons). In teaspoons, cups or fluid ounces the number would be huge.
2.
A farm sells $3$ gallons of milk. How many quarts is that?
Answer: 12
$1 \text{ gal} = 4 \text{ qt}$ , so $3 \times 4 = 12$ . $3$ gallons are $12$ quarts.
3.
How many cups are in $1$ pint?
1. a)2 cups
2. b)8 cups
3. c)4 cups
4. d)1 cup
Answer: 2 cups
$2 \text{ cups} = 1 \text{ pt}$ . A pint is two cups, about the size of a large mug.
4.
A juice bar has $4$ quarts of orange juice. How many pints is that?
Answer: 8
1. How many pints are in $1$ quart? 2
2. Multiply: $4 \times 2 = ?$ 8
5.
A pot of soup holds $6$ cups. How many pints is that?
Answer: 3
$2 \text{ cups} = 1 \text{ pt}$ , so $6 \div 2 = 3$ . $6$ cups are $3$ pints.
6.
A smoothie cup holds $24$ fl oz. How many cups is that?
Answer: 3
1. How many fluid ounces are in $1$ cup? 8
2. Divide: $24 \div 8 = ?$ 3
7.
Which amount is the largest?
1. a)1 fluid ounce
2. b)1 pint
3. c)1 quart
4. d)1 cup
Answer: 1 quart
From small to large: $1$ fl oz, $1$ cup ( $8$ fl oz), $1$ pint ( $2$ cups), $1$ quart ( $2$ pints). The quart is the largest.
8.
A jug of lemonade holds $40$ fl oz. How many cups is that?
Answer: 5
$8 \text{ fl oz} = 1 \text{ cup}$ , so $40 \div 8 = 5$ . The jug holds $5$ cups.
9.
You have $10$ pints of juice and a jug that holds $1$ gallon. How many quarts of juice will NOT fit in the jug?
Answer: 1
1. How many pints are in $1$ quart? 2
2. How many quarts are $10$ pints? 5
3. How many quarts fit in the $1$ gallon jug? 4
4. How many quarts do NOT fit? $5 - 4 = ?$ 1
10.
A recipe needs $5$ tablespoons of oil, but you only have a teaspoon. How many teaspoons do you need?
Answer: 15
$1 \text{ tbsp} = 3 \text{ tsp}$ , so $5 \times 3 = 15$ . You need $15$ teaspoons.
11.
About how many liters is $1$ US gallon?
1. a)About 1 L
2. b)About 3.8 L
3. c)About 10 L
4. d)About 2 L
Answer: About 3.8 L
$1 \text{ gal} \approx 3.785$ L, so about $3.8$ L. Check: $4$ quarts, each a bit less than $1$ L, give a bit less than $4$ L.
12.
For a party you mix $6$ cups of water with $2$ cups of fruit juice. How many pints of drink do you make?
Answer: 4
1. How many cups of drink in total? 8
2. How many cups make $1$ pint? 2
3. How many pints is that? $8 \div 2 = ?$ 4
13.
A pancake recipe needs $1.5$ cups of milk. Your measuring jug only shows fluid ounces. How many fl oz of milk do you pour?
Answer: 12
1. How many fluid ounces are in $1$ cup? 8
2. How many fluid ounces are in half a cup? 4
3. How many fluid ounces in total? $8 + 4 = ?$ 12
14.
Which statement is true?
1. a) $1 \text{ gal} = 4 \text{ qt}$
2. b) $1 \text{ cup} = 16 \text{ fl oz}$
3. c) $1 \text{ qt} = 4 \text{ pt}$
4. d) $1 \text{ pt} = 4 \text{ cups}$
Answer: $1 \text{ gal} = 4 \text{ qt}$
Only $1 \text{ gal} = 4 \text{ qt}$ is true. The others are wrong: $1 \text{ qt} = 2 \text{ pt}$ , $1 \text{ cup} = 8 \text{ fl oz}$ and $1 \text{ pt} = 2 \text{ cups}$ .
15.
A cooler holds $7$ pints of iced tea. How many quarts is that? Write the answer as a decimal.
Answer: 3.5
$2 \text{ pt} = 1 \text{ qt}$ , so $7 \div 2 = 3.5$ . The cooler holds $3.5$ quarts.
16.
In a US shop, $1$ gallon of milk costs $4$ dollars and $1$ quart costs $1.50$ dollars. How much do you save per quart by buying the gallon?
Answer: 0.5
1. How many quarts are in $1$ gallon? 4
2. What does one quart cost when you buy the gallon? $4 \div 4 = ?$ 1
3. How much do you save per quart? $1.50 - 1 = ?$ 0.5
17.
A rain barrel holds $40$ quarts of water. About how many liters is that? First change quarts to gallons, then use $1 \text{ gal} \approx 3.785$ L and round to the nearest liter.
Answer: 38
1. How many quarts are in $1$ gallon? 4
2. How many gallons are $40$ quarts? 10
3. How many liters is $10 \times 3.785$ , rounded to the nearest liter? 38
18.
A coach fills a $5$ gallon water cooler using a $1$ quart jug. How many players can each drink $1$ pint from the full cooler?
Answer: 40
1. How many quarts are in $1$ gallon? 4
2. How many quart jugfuls fill $5$ gallons? 20
3. How many pints are in $1$ quart? 2
4. How many players can drink $1$ pint each? $20 \times 2 = ?$ 40