Converting Imperial Volume Units

Show your work for each problem.

1.
How many cups are in $1$ gallon?
1. a)16
2. b)4
3. c)8
4. d)32
Answer: 16
$1$ gal $= 4$ qt $= 8$ pt $= 16$ c, because $4 \times 2 \times 2 = 16$ .
2.
How many cups are in $5$ quarts?
Answer: 20
Big to small, so multiply: $5 \times 2 = 10$ pt, then $10 \times 2 = 20$ c.
3.
Convert $2$ gallons to pints.
Answer: 16
1. How many quarts are in $2$ gallons? 8
2. How many pints are in those quarts? 16
4.
To convert quarts to pints, what do you do?
1. a)Multiply by 2
2. b)Divide by 4
3. c)Divide by 2
4. d)Multiply by 4
Answer: Multiply by 2
$1$ qt $= 2$ pt. A pint is the smaller unit, so you get more of them: multiply by $2$ .
5.
How many cups are in $64$ fl oz?
Answer: 8
$64 \div 8 = 8$ , so $64$ fl oz $= 8$ cups (that is also $2$ quarts, or half a gallon).
6.
A jug holds $6$ pints of milk. How many fluid ounces is that?
Answer: 96
1. How many cups are in $6$ pints? 12
2. How many fluid ounces are in those cups? 96
7.
Which amount is equal to $2$ gal $3$ qt?
1. a)5 qt
2. b)11 qt
3. c)23 qt
4. d)9 qt
Answer: 11 qt
$2$ gal $= 2 \times 4 = 8$ qt, and $8 + 3 = 11$ qt. $23$ qt treats a gallon as $10$ quarts, which is wrong.
8.
How many fluid ounces are in $3$ gallons?
Answer: 384
$1$ gal $= 4 \times 2 \times 2 \times 8 = 128$ fl oz, so $3 \times 128 = 384$ fl oz.
9.
Write $10$ pints as gallons and quarts.
Answer: 1 gal 1 qt
1. How many quarts are $10$ pints? 5
2. How many whole gallons fit in those quarts? 1
3. How many quarts are left over? 1
10.
$13$ quarts $= 3$ gallons and how many more quarts? Type only the number of quarts.
Answer: 1
$3$ gal $= 12$ qt, and $13 - 12 = 1$ . So $13$ qt $= 3$ gal $1$ qt.
11.
A fish tank holds $4$ gallons. How many liters is that? Use $1 \text{ gal} \approx 3.785 \text{ L}$ and round to the nearest tenth.
Answer: 15.1
1. What is $4 \times 3.785$ (all digits)? 15.14
2. Round to the nearest tenth of a liter. 15.1
12.
About how many cups does a $2$ -liter bottle hold? Use $1 \text{ c} \approx 237 \text{ mL}$ and round to the nearest tenth.
1. a)8.4
2. b)474
3. c)4.2
4. d)0.8
Answer: 8.4
$2$ L $= 2000$ mL and $2000 \div 237 \approx 8.44$ , so about $8.4$ cups. $474$ comes from multiplying instead of dividing. $0.8$ comes from using $1$ L $= 100$ mL instead of $1000$ mL, and $4.2$ is the number of cups in only $1$ liter.
13.
A cake recipe needs $1\frac{3}{4}$ cups of water. How many mL is that? Use $1 \text{ c} \approx 237 \text{ mL}$ and round to the nearest mL.
Answer: 415
1. Write $1\frac{3}{4}$ as a decimal. 1.75
2. What is $1.75 \times 237$ (all digits)? 414.75
3. Round to the nearest mL. 415
14.
A soup recipe for $6$ people uses $1.5$ quarts of broth. How many cups of broth do you need for $10$ people?
Answer: 10
$1.5 \times 4 = 6$ cups for $6$ people, which is $1$ cup per person. For $10$ people you need $10$ cups.
15.
A sauce recipe for $4$ people uses $\frac{3}{4}$ cup of cream. You cook for $10$ people. How many mL of cream do you need? Use $1 \text{ c} \approx 237 \text{ mL}$ and round to the nearest mL.
Answer: 444
1. What is the scale factor from $4$ to $10$ people? 2.5
2. How many cups of cream do you need? 1.875
3. Convert to mL and round to the nearest mL. 444
16.
Which amount is the largest? Use $1 \text{ gal} = 128 \text{ fl oz}$ and $1 \text{ fl oz} \approx 29.57 \text{ mL}$ .
1. a)15 c
2. b)130 fl oz
3. c)3 L
4. d)1 gal
Answer: 130 fl oz
$1$ gal $= 128$ fl oz; $15$ c $= 15 \times 8 = 120$ fl oz; $3$ L $= 3000 \div 29.57 \approx 101$ fl oz. So $130$ fl oz is the largest.
17.
You fill a $20$ -gallon aquarium with $2$ -liter bottles of water. How many bottles do you need? Use $1 \text{ gal} \approx 3.785 \text{ L}$ and round up to a whole number of bottles.
Answer: 38
1. How many liters does the aquarium hold? 75.7
2. Divide by the size of one bottle. 37.85
3. How many whole bottles do you need? 38
18.
A jug holds $1$ gallon of milk. You pour out $5$ cups. Write the milk that is left in quarts and cups.
Answer: 2 qt 3 c
1. How many cups are in the full jug? 16
2. How many cups are left? 11
3. How many whole quarts is that? 2
4. How many cups are left over after the whole quarts? 3