McGraw Hill My Math Grade 5 Chapter 11 Lesson 7 Answer Key Convert Customary Units of Capacity

All the solutions provided in McGraw Hill My Math Grade 5 Answer Key PDF Chapter 11 Lesson 7 Convert Customary Units of Capacity will give you a clear idea of the concepts.

McGraw-Hill My Math Grade 5 Answer Key Chapter 11 Lesson 7 Convert Customary Units of Capacity

Capacity is the measure of how much a container can hold. Just like length and weight, the smaller the unit you use to measure capacity, the more precise the measurement.

Math in My World

Example 1

Sondra tries to drink 9 cups of water each day. How many fluid ounces of water are 9 cups?

Convert 9 cups to fluid ounces.
Since 1 cup = 8 fluid ounces, multiply 9 by 8.

So, 9 cups = ____________ fluid ounces.
Answer:
1 cup to fluid ounces = 8 fluid ounces

9 cups equal to 72 fluid ounces.

Example 2

How many quarts can be made from 7 pints?
Since 2 pints = ____________ quart, divide 7 by ____________.

The remainder ____________ means there is ____________ pint left over.
The fraction of a quart is ____________.
So, 7 pints = ____________ quarts ____________ pint, 3\(\frac{1}{2}\) quarts, or 3.5 quarts.
Answer:
since 2 pints = 1 quart, divide 7 by 2

The remainder 1 means there is 1 pint left over.
The fraction of a quart is 1/2.
therefore, 7 pints = 3 quarts 1 pint, 3 1/2 quarts or 3.5 quarts.

Guided Practice

Complete.

Question 1.
3 c = fl oz
3 × 8 = _____________
So, 3 cups equals _____________ fluid ounces.
Answer: 24 fluid ounces
Explanation:
1 cup is equal to 8 fluid ounces: 1 cup = 8 fl oz
To convert 3 cups into fluid ounces we have to multiply 3 by the conversion factor in order to get the volume amount from cups to fluid ounces. We can also form a simple proportion to calculate the result:
1 cup → 8 fl oz
3 cup → V(fl oz)
Solve the above proportion to obtain the volume V in fluid ounces:
V(fl oz) = 3 cup × 8 fl oz
V(fl oz) = 24 fl oz
We conclude that 3 cups is equivalent to 24 fluid ounces: 3 cups = 24 fluid ounces.

Question 2.
4qt = c
4 × 2 = _____________
8 × 2 = _____________
So, 4 quarts equals _____________ cups.
Answer: 16 cups
Explanation:
1 quart is equal to 4 cups: 1 qt = 4 cup
To convert 4 quarts into cups we have to multiply 4 by the conversion factor in order to get the volume amount from quarts to cups. We can also form a simple proportion to calculate the result:
1 qt → 4 cup
4 qt → V(cup)
Solve the above proportion to obtain the volume V in cups:
V(cup) = 4 qt × 4 cup
V(cup) = 16 cup
We conclude that 4 quarts are equivalent to 16 cups: 4 quarts = 16 cups

Question 3.
18 pt = qt
18 ÷ 2 = ______________
So, 18 pints equals _______________ quarts.
Answer: 9 quarts.
Explanation:
1 pint is equal to 0.5 quarts: 1 pt = 0.5 qt
To convert 18 pints into quarts we have to multiply 18 by the conversion factor in order to get the volume amount from pints to quarts. We can also form a simple proportion to calculate the result:
1 pt → 0.5 qt
18 pt → V(qt)
Solve the above proportion to obtain the volume V in quarts:
V(qt) = 18 pt × 0.5 qt
V(qt) = 9 qt
We conclude that 18 pints are equivalent to 9 quarts: 18 pints = 9 quarts

Talk Math

Explain how to compare 18 fluid ounces to 2 pints.

Answer:
Now compare:
18 fluid ounces – 2 pints
Now convert ounces to pints:
1 fluid ounce is equal to 0.0625 pints:
1 fl oz = 0.0625 pt
To convert 18 fluid ounces into pints we have to multiply 18 by the conversion factor in order to get the volume amount from fluid ounces to pints. We can also form a simple proportion to calculate the result:
1 fl oz → 0.0625 pt
18 fl oz → V(pt)
Solve the above proportion to obtain the volume V in pints:
V(pt) = 18 fl oz × 0.0625 pt
V(pt) = 1.125 pt
Now compare 1.125 pt and 2 pints
1.125 pt is less than (<) 2 pints.
Therefore, the answer is less than(<).

Independent Practice

Complete.

Question 4.
5 c = _______________ fl oz
Answer: 40 fluid ounces
Explanation:
1 cup is equal to 8 fluid ounces: 1 cup = 8 fl oz
To convert 5 cups into fluid ounces we have to multiply 5 by the conversion factor in order to get the volume amount from cups to fluid ounces. We can also form a simple proportion to calculate the result:
1 cup → 8 fl oz
5 cup → V(fl oz)
Solve the above proportion to obtain the volume V in fluid ounces:
V(fl oz) = 5 cup × 8 fl oz
V(fl oz) = 40 fl oz
We conclude that 5 cups is equivalent to 40 fluid ounces: 5 cups = 40 fluid ounces.

Question 5.
19 qt = _______________ gal _______________ qt
Answer: 4 gallons 3 quarts
Explanation:
1 quart is equal to 0.25 gallons: 1 qt = 0.25 gal
To convert 19 quarts into gallons we have to multiply 19 by the conversion factor in order to get the volume amount from quarts to gallons. We can also form a simple proportion to calculate the result:
1 qt → 0.25 gal
19 qt → V(gal)
Solve the above proportion to obtain the volume V in gallons:
V(gal) = 19 qt × 0.25 gal
V(gal) = 4.75 gal
This can be written as 4 gallons 3 quarts.

Question 6.
50 c = _______________ pt
Answer: 25 pints
Explanation:
1 cup is equal to 0.5 pints: 1 cup = 0.5 pt
To convert 50 cups into pints we have to multiply 50 by the conversion factor in order to get the volume amount from cups to pints. We can also form a simple proportion to calculate the result:
1 cup → 0.5 pt
50 cup → V(pt)
Solve the above proportion to obtain the volume V in pints:
V(pt) = 50 cup × 0.5 pt
V(pt) = 25 pt
We conclude that 50 cups is equivalent to 25 pints: 50 cups = 25 pints

Question 7.
22 fl oz = _______________ c _______________ fl oz
Answer: 2 cups 3 fl oz.
Explanation:
1 fluid ounce is equal to 0.125 cups: 1 fl oz = 0.125 cup
To convert 22 fluid ounces into cups we have to multiply 22 by the conversion factor in order to get the volume amount from fluid ounces to cups. We can also form a simple proportion to calculate the result:
1 fl oz → 0.125 cup
22 fl oz → V(cup)
Solve the above proportion to obtain the volume V in cups:
V(cup) = 22 fl oz × 0.125 cup
V(cup) = 2.75 cup
We conclude that 22 fluid ounces are equivalent to 2.75 cups: 22 fluid ounces = 2.75 cups
This can be written as 2 cups 3 fl oz.

Question 8.
2 gal = _______________ fl oz
Answer: 256 fluid ounces
Explanation:
1 gallon is equal to 128 fluid ounces: 1 gal = 128 fl oz
To convert 2 gallons into fluid ounces we have to multiply 2 by the conversion factor in order to get the volume amount from gallons to fluid ounces. We can also form a simple proportion to calculate the result:
1 gal → 128 fl oz
2 gal → V(fl oz)
Solve the above proportion to obtain the volume V in fluid ounces:
V(fl oz) = 2 gal × 128 fl oz
V(fl oz) = 256 fl oz
We conclude that 2 gallons are equivalent to 256 fluid ounces: 2 gallons = 256 fluid ounces

Question 9.
7c = _______________ pt
Answer: 3.5 pints
Explanation:
1 cup is equal to 0.5 pints: 1 cup = 0.5 pt
To convert 7 cups into pints we have to multiply 7 by the conversion factor in order to get the volume amount from cups to pints. We can also form a simple proportion to calculate the result:
1 cup → 0.5 pt
50 cup → V(pt)
Solve the above proportion to obtain the volume V in pints:
V(pt) = 7 cup × 0.5 pt
V(pt) = 3.5 pt
We conclude that 7 cups is equivalent to 3.5 pints: 7 cups = 3.5 pints

Question 10.
19 c = _______________ fl oz
Answer: 152 fluid ounces
Explanation:
1 cup is equal to 8 fluid ounces: 1 cup = 8 fl oz
To convert 19 cups into fluid ounces we have to multiply 19 by the conversion factor in order to get the volume amount from cups to fluid ounces. We can also form a simple proportion to calculate the result:
1 cup → 8 fl oz
19 cup → V(fl oz)
Solve the above proportion to obtain the volume V in fluid ounces:
V(fl oz) = 19 cup × 8 fl oz
V(fl oz) = 152 fl oz
We conclude that 19 cups is equivalent to 152 fluid ounces: 19 cups = 152 fluid ounces

Question 11.
25 gal = _______________ qt
Answer: 100 quarts
Explanation:
1 gallon is equal to 4 quarts:
1 gal = 4 qt
To convert 25 gallons into quarts we have to multiply 25 by the conversion factor in order to get the volume amount from gallons to quarts. We can also form a simple proportion to calculate the result:
1 gal → 4 qt
25 gal → V(qt)
Solve the above proportion to obtain the volume V in quarts:
V(qt) = 25 gal × 4 qt
V(qt) = 100 qt
We conclude that 25 gallons are equivalent to 100 quarts: 25 gallons = 100 quarts

Question 12.
68pt = _______________ gal
Answer: 8.5 gallons
Explanation:
1 pint is equal to 0.125 gallons: 1 pt = 0.125 gal
To convert 68 pints into gallons we have to multiply 68 by the conversion factor in order to get the volume amount from pints to gallons. We can also form a simple proportion to calculate the result:
1 pt → 0.125 gal
68 pt → V(gal)
Solve the above proportion to obtain the volume V in gallons:
V(gal) = 68 pt × 0.125 gal
V(gal) = 8.5 gal
We conclude that 68 pints are equivalent to 8.5 gallons: 68 pints = 8.5 gallons

Question 13.
56 qt = _______________ gal
Answer: 14 gallons
Explanation:
1 quart is equal to 0.25 gallons: 1 qt = 0.25 gal
To convert 56 quarts into gallons we have to multiply 56 by the conversion factor in order to get the volume amount from quarts to gallons. We can also form a simple proportion to calculate the result:
1 qt → 0.25 gal
56 qt → V(gal)
Solve the above proportion to obtain the volume V in gallons:
V(gal) = 56 qt × 0.25 gal
V(gal) = 14 gal
We conclude that 56 quarts are equivalent to 14 gallons: 56 quarts = 14 gallons

Compare. Use <, >, or = to make a true statement.

Question 14.
4 c 40 fl oz
Answer: less than (<)
Explanation:
1 cup is equal to 8 fluid ounces: 1 cup = 8 fl oz
To convert 4 cups into fluid ounces we have to multiply 4 by the conversion factor in order to get the volume amount from cups to fluid ounces. We can also form a simple proportion to calculate the result:
1 cup → 8 fl oz
4 cup → V(fl oz)
Solve the above proportion to obtain the volume V in fluid ounces:
V(fl oz) = 4 cup × 8 fl oz
V(fl oz) = 32 fl oz
We conclude that 4 cups is equivalent to 32 fluid ounces: 4 cups = 32 fluid ounces.
Now compare: 32 and 40
32 fl oz < 40 fl oz.
Therefore, the answer is less than (<).

Question 15.
1.75 gal 10 pt
Answer: greater than (>)
Explanation:
1 gallon is equal to 8 pints: 1 gal = 8 pt
To convert 1.75 gallons into pints we have to multiply 1.75 by the conversion factor in order to get the volume amount from gallons to pints. We can also form a simple proportion to calculate the result:
1 gal → 8 pt
1.75 gal → V(pt)
Solve the above proportion to obtain the volume V in pints:
V(pt) = 1.75 gal × 8 pt
V(pt) = 14 pt
We conclude that 1.75 gallons are equivalent to 14 pints: 1.75 gallons = 14 pints.
Now compare:
14 pints > 10 pints
Therefore, 1.75 gallons is greater than 10 pints.

Question 16.
2\(\frac{3}{4}\) qt 5\(\frac{1}{2}\) pt
Answer: equal to(=)
2 3/4 = 11/4 = 2.75
5 1/2 = 11/2 = 5.5
Explanation:
1 quart is equal to 2 pints: 1 qt = 2 pt
To convert 2.75 quarts into pints we have to multiply 2.75 by the conversion factor in order to get the volume amount from quarts to pints. We can also form a simple proportion to calculate the result:
1 qt → 2 pt
2.75 qt → V(pt)
Solve the above proportion to obtain the volume V in pints:
V(pt) = 2.75 qt × 2 pt
v(pt) = 5.5 pt
Now compare:
5.5 pt = 5.5 pt
Therefore, 2.75 quarts equal 5.5 pt.

Question 17.
3 gal 13qt
Answer: less than(<)
Explanation:
1 gallon is equal to 4 quarts: 1 gal = 4 qt
To convert 3 gallons into quarts we have to multiply 3 by the conversion factor in order to get the volume amount from gallons to quarts. We can also form a simple proportion to calculate the result:
1 gal → 4 qt
3 gal → V(qt)
Solve the above proportion to obtain the volume V in quarts:
V(qt) = 3 gal × 4 qt
V(qt) = 12 qt
Now compare:
12 qt < 13 qt
Therefore, 3 gallons is less than 13 quarts.

Question 18.
5qt 10 pt
Answer: equal to(=)
Explanation:
1 quart is equal to 2 pints: 1 qt = 2 pt
To convert 5 quarts into pints we have to multiply 5 by the conversion factor in order to get the volume amount from quarts to pints. We can also form a simple proportion to calculate the result:
1 qt → 2 pt
5 qt → V(pt)
Solve the above proportion to obtain the volume V in pints:
V(pt) = 5 qt × 2 pt
V(pt) = 10 pt
Now compare:
10 pints = 10 pints
Therefore, 5 quarts equal 10 pints.

Question 19.
300 fl oz 2 gal
Answer: greater than (>)
Explanation:
1 fluid ounce is equal to 0.0078125 gallons: 1 fl oz = 0.0078125 gal
To convert 300 fluid ounces into gallons we have to multiply 300 by the conversion factor in order to get the volume amount from fluid ounces to gallons. We can also form a simple proportion to calculate the result:
1 fl oz → 0.0078125 gal
300 fl oz → V(gal)
Solve the above proportion to obtain the volume V in gallons:
V(gal) = 300 fl oz × 0.0078125 gal
V(gal) = 2.34375 gal
Now compare:
2.3 gallons > 2 gallons
Therefore, 300 fl oz is greater than 2 gallons.

Problem Solving

Question 20.
Mathematical PRACTICE Explain to a Friend A bucket contains 1 \(\frac{1}{2}\) gallons of water. Is the amount of water in the bucket greater than, less than, or equal to 6 quarts? Explain.
Answer: equal to(=)
Explanation:
The above-given:
The number of gallons of water a bucket contains = 1 1/2 = 3/2 = 1.5
Given: 6 quarts
Now compare 1.5 gallons and 6 quarts.
1 gallon is equal to 4 quarts: 1 gal = 4 qt
To convert 1.5 gallons into quarts we have to multiply 1.5 by the conversion factor in order to get the volume amount from gallons to quarts. We can also form a simple proportion to calculate the result:
1 gal → 4 qt
1.5 gal → V(qt)
Solve the above proportion to obtain the volume V in quarts:
V(qt) = 1.5 gal × 4 qt
V(qt) = 6 qt
Now compare: 6 qt = 6 qt
Therefore, 1.5 gallons equal 6 quarts.

Question 21.
Zach had 1 quart of milk. He used 1 pint to make pancakes and 1 cup to make scrambled eggs. How many cups of milk were left?
Answer: 1 cup
Explanation:
1 quart = 2 pints
1 pint = 2 cups
1 quart = (2 x 2) cups = 4 cups
4 cups (1 quart) of milk in total
2 cups (1 pint) and 1 cup are used,
(4-2-1) = 1
Therefore, 1 cup of milk was left.

Question 22.
A cow can drink up to 35 gallons of water in a day. How many quarts of water can a cow drink in a day?

Answer: 140 quarts
Explanation:
The number of gallons a cow can drink = 35
In quarts, we need to find out. Let it be V(qt)
1 gallon is equal to 4 quarts: 1 gal = 4 qt
To convert 35 gallons into quarts we have to multiply 35 by the conversion factor in order to get the volume amount from gallons to quarts. We can also form a simple proportion to calculate the result:
1 gal → 4 qt
35 gal → V(qt)
Solve the above proportion to obtain the volume V in quarts:
V(qt) = 35 gal × 4 qt
V(qt) = 140 qt
Therefore, 140 quarts a cow can drink in a day.

HOT Problems

Question 23.
Mathematical PRACTICE Be Precise Trevor needs to use the most precise measurement when measuring orange juice to add to a mix. Which unit of measure should he use?
Answer:
He could use fluid ounces. This is the smallest customary unit of capacity.

Question 24.
Building on the Essential Question How can I convert units of capacity?
Answer: Converting Metric Units of Capacity All the units in the metric system are either multiplied by 10 or divided by 10.

McGraw Hill My Math Grade 5 Chapter 11 Lesson 7 My Homework Answer Key

Practice

Complete.

Question 1.
16 c = _______________ pt
Answer: 8 pints
Explanation:
1 cup is equal to 0.5 pints: 1 cup = 0.5 pt
To convert 16 cups into pints we have to multiply 16 by the conversion factor in order to get the volume amount from cups to pints. We can also form a simple proportion to calculate the result:
1 cup → 0.5 pt
16 cup → V(pt)
Solve the above proportion to obtain the volume V in pints:
V(pt) = 16 cup × 0.5 pt
V(pt) = 8 pt
We conclude that 16 cups is equivalent to 8 pints: 16 cups = 8 pints

Question 2.
64 fl oz = _______________ c
Answer: 8 cups
Explanation:
1 fluid ounce is equal to 0.125 cups: 1 fl oz = 0.125 cup
To convert 64 fluid ounces into cups we have to multiply 64 by the conversion factor in order to get the volume amount from fluid ounces to cups. We can also form a simple proportion to calculate the result:
1 fl oz → 0.125 cup
64 fl oz → V(cup)
Solve the above proportion to obtain the volume V in cups:
V(cup) = 64 fl oz × 0.125 cup
V(cup) = 8 cup
We conclude that 64 fluid ounces are equivalent to 8 cups: 64 fluid ounces = 8 cups

Question 3.
5 qt = _______________ gal _______________ qt
Answer: 1.25 gallons
Explanation:
1 quart is equal to 0.25 gallons: 1 qt = 0.25 gal
To convert 5 quarts into gallons we have to multiply 5 by the conversion factor in order to get the volume amount from quarts to gallons. We can also form a simple proportion to calculate the result:
1 qt → 0.25 gal
5 qt → V(gal)
Solve the above proportion to obtain the volume V in gallons:
V(gal) = 5 qt × 0.25 gal
V(gal) = 1.25 gal
We conclude that 5 quarts are equivalent to 1.25 gallons: 5 quarts = 1.25 gallons
This can be written as 1 gallon 4 quarts.

Question 4.
18 qt = _______________ gal
Answer: 4.5 gallons
Explanation:
1 quart is equal to 0.25 gallons: 1 qt = 0.25 gal
To convert 18 quarts into gallons we have to multiply 18 by the conversion factor in order to get the volume amount from quarts to gallons. We can also form a simple proportion to calculate the result:
1 qt → 0.25 gal
18 qt → V(gal)
Solve the above proportion to obtain the volume V in gallons:
V(gal) = 18 qt × 0.25 gal
V(gal) = 4.5 gal
We conclude that 18 quarts are equivalent to 4.5 gallons: 18 quarts = 4.5 gallons

Question 5.
7 c = _______________ pt
Answer: 3.5 pints
Explanation:
1 cup is equal to 0.5 pints: 1 cup = 0.5 pt
To convert 7 cups into pints we have to multiply 7 by the conversion factor in order to get the volume amount from cups to pints. We can also form a simple proportion to calculate the result:
1 cup → 0.5 pt
7 cup → V(pt)
Solve the above proportion to obtain the volume V in pints:
V(pt) = 7 cup × 0.5 pt
V(pt) = 3.5 pt
We conclude that 7 cups is equivalent to 3.5 pints: 7 cups = 3.5 pints

Question 6.
16 pt 1 c = _______________ c
Answer: 33 cups
Explanation:
1 pint is equal to 2 cups: 1 pt = 2 cup
To convert 16 pints into cups we have to multiply 16 by the conversion factor in order to get the volume amount from pints to cups. We can also form a simple proportion to calculate the result:
1 pt → 2 cup
16 pt → V(cup)
Solve the above proportion to obtain the volume V in cups:
V(cup) = 16 pt × 2 cup
V(cup) = 32 cup
32 cups + 1 cup = 33 cups.

Problem Solving

Question 7.
The table shows the amount of paint left in each jar. Which jar contains the greatest amount of paint? the least?

Answer:
compare each other
compare purple and green
5 cups = 40 fluid ounces.
1 cup is equal to 8 fluid ounces:
1 cup = 8 fl oz
To convert 5 cups into fluid ounces we have to multiply 5 by the conversion factor in order to get the volume amount from cups to fluid ounces. We can also form a simple proportion to calculate the result:
1 cup → 8 fl oz
5 cup → V(fl oz)
Solve the above proportion to obtain the volume V in fluid ounces:
V(fl oz) = 5 cup × 8 fl oz
V(fl oz) = 40 fl oz
Now purple in fluid ounces are 40 fl oz. And green is 39 fluid ounces.
purple is greater than green.
1 pint is equal to 16 fluid ounces: 1 pt = 16 fl oz
2 pints = 16 x 2 = 32 fluid ounces.
32 + 4 = 36 fl oz.
now write fluid ounces we get:
blue: 36 fl oz; purple: 40 fl oz; green 39 fl oz.
The greatest one is purple with 40 fl oz
The least one is blue with 36 fl oz.

Question 8.
Mathematical PRACTICE Model Math Write about a real-world situation that can be solved by converting customary units of capacity. Then solve.
Answer:
The recipe called for 2 quarts of water. How many cups is that?
1 quart is equal to 4 cups: 1 qt = 4 cup
To convert 2 quarts into cups we have to multiply 2 by the conversion factor in order to get the volume amount from quarts to cups. We can also form a simple proportion to calculate the result:
1 qt → 4 cup
2 qt → V(cup)
Solve the above proportion to obtain the volume V in cups:
V(cup) = 2 qt × 4 cup
V(cup) = 8 cup
Therefore, there are 8 cups of water.

Vocabulary Check

Circle the correct term to complete each sentence.

Question 9.
(Cups, Gallons) would be the most appropriate customary unit to measure the capacity of a hot chocolate mug.
Answer:

A cup is a unit of measurement for volume, used in cooking to measure liquids.

Question 10.
(Gallons, Pints) would be the most appropriate customary unit to measure the capacity of a swimming pool.
Answer:

A customary unit of volume for liquid measure. 1 gallon = 4 quarts.

Question 11.
(Weight. Capacity) is a measure of how much a container can hold.
Answer:

capacity is defined as the maximum quantity a container can hold when full. There are two types of capacity measurement: metric measurement and customary measurement. Metric Measurement The standard units to measure capacity are litres and millilitres. Millilitre (ml): Milliliter is denoted by the letters ml.

Test Practice

Question 12.
The average person drinks 1 pint of milk a day. At this rate, how many gallons will a person drink in a leap year (366 days)?
(A) 45 gallons
(B) 45\(\frac{3}{4}\) gallons
(C) 45\(\frac{1}{2}\) gallons
(D) 46 gallons
Answer: Option B is correct.
1 pint is equal to 0.125 gallons: 1 pt = 0.125 gal
To convert 1 pint into gallons we have to multiply 1 by the conversion factor in order to get the volume amount from pints to gallons. We can also form a simple proportion to calculate the result:
1 pt → 0.125 gal
1 pt → V(gal)
Solve the above proportion to obtain the volume V in gallons:
V(gal) = 1 pt × 0.125 gal
V(gal) = 0.125 gal
V(leap year) = 366 x 0.125
V(leap year) = 45.75