McGraw Hill My Math Grade 5 Chapter 11 Lesson 6 Answer Key Estimate and Measure Capacity

All the solutions provided in McGraw Hill My Math Grade 5 Answer Key PDF Chapter 11 Lesson 6 Estimate and Measure Capacity will give you a clear idea of the concepts.

McGraw-Hill My Math Grade 5 Answer Key Chapter 11 Lesson 6 Estimate and Measure Capacity

Capacity is the measure of how much a container can hold. Cups, pints, and gallons are examples of units of measurement for capacity.

Measure It

1. Estimate the capacity of a pint container. Record your estimate in the table.

Answer:
In the above-given:
We need to record the estimation of the capacity of a pint.

2. Fill one cup with water and pour its contents into the pint container. Repeat until the pint container is full.
How many cups does it take to fill the pint container? _____________
So, there are ___________ cups in a pint.
Record the measure in the table.
Answer:
The number of cups it takes to fill the pint container is 2
Therefore, there are 2 cups in a pint

The actual record of the pint container is 2.

3. Estimate the capacity of a quart container. Record your estimate in the table.

Answer:
Here we need to record the estimation of the quart.

4. Fill one pint with water and pour its contents into the quart container. Repeat until the quart container is full.
How many pints does it take to fill the quart container? _____________
So, there are _____________ pints in a quart.
Record the measure in the table.
Answer:
The number of pints it takes to fill the quart container is 2.
Therefore, there are 2 pints in a quart.

Try It

1. Estimate the capacity of a gallon container. Record your estimate in the table.

2. Fill the one-quart container with water and pour its contents into the gallon container. Repeat until the gallon container is full.
How many quarts does it take to fill the gallon container? _____________
So, there are _____________ quarts in a gallon.
Record the measure in the table.
Answer:

The number of quarts it takes to fill the gallon container is 4
so, there are 4 quarts in a gallon.
a gallon is a customary unit of volume for liquid measure.
1 gallon = 4 quarts.

Talk About It

Question 1.
Is the capacity of the gallon container less than or greater than the capacity of the pint container? Explain.
Answer:
The capacity of the gallon is greater than the capacity of the pint container.
1 pint is equal to 0.125 gallons
1 gallon is equal to 8 pints.
By the above statements, we can say it takes 2 pints to make a quart and 4 quarts to make a gallon. So a gallon is greater than a pint.

Question 2.
Mathematical PRACTICE Model Math Use the pint container to estimate and measure how many pints are in a gallon. Record your results in the table below.

Answer:

The conversion factor from gallons to pints is 8, which means that 1 gallon is equal to 8 pints:
1 gal = 8 pt
To convert 1 gallon into pints we have to multiply 1 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 gal → V(pt)
Solve the above proportion to obtain the volume V in pints:
V(pt) = 1 gal × 8 pt
V(pt) = 8 pt
The final result is:
1 gal → 8 pt
We conclude that 1 gallon is equivalent to 8 pints:
1 gallons = 8 pints.

Question 3.
Explain how you could convert 8 quarts to gallons without measuring.
Answer: 2 gallons
Explanation:
The conversion factor from quarts to gallons is 0.25, which means that 1 quart is equal to 0.25 gallons:
1 qt = 0.25 gal
To convert 8 quarts into gallons we have to multiply 8 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
8 qt → V(gal)
Solve the above proportion to obtain the volume V in gallons:
V(gal) = 8 qt × 0.25 gal
V(gal) = 2 gal
The final result is:
8 qt → 2 gal
We conclude that 8 quarts are equivalent to 2 gallons:
8 quarts = 2 gallons

Practice It

Complete using your findings from the activities.

Question 4.
3 pints = ________________ cups
Answer: 6 cups
Explanation:
The conversion factor from pints to cups is 2, which means that 1 pint is equal to 2 cups:
1 pt = 2 cup
To convert 3 pints into cups we have to multiply 3 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
3 pt → V(cup)
Solve the above proportion to obtain the volume V in cups:
V(cup) = 3 pt × 2 cup
V(cup) = 6 cup
The final result is:
3 pt → 6 cup
We conclude that 3 pints are equivalent to 6 cups:
3 pints = 6 cups

Question 5.
4 gallons = ________________ pints
Answer: 32 pints
Explanation:
1 gallon is equal to 8 pints:
1 gal = 8 pt
To convert 4 gallons into pints we have to multiply 4 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
4 gal → V(pt)
Solve the above proportion to obtain the volume V in pints:
V(pt) = 4 gal × 8 pt
V(pt) = 32 pt
We conclude that 4 gallons are equivalent to 32 pints:
4 gallons = 32 pints

Question 6.
12 cups = ________________ pints
Answer: 6 pints
Explanation:
1 cup is equal to 0.5 pints:
1 cup = 0.5 pt
To convert 12 cups into pints we have to multiply 12 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
12 cup → V(pt)
Solve the above proportion to obtain the volume V in pints:
V(pt) = 12 cup × 0.5 pt
V(pt) = 6 pt
We conclude that 12 cups is equivalent to 6 pints:
12 cups = 6 pints

Question 7.
3 gallons = ________________ quarts
Answer: 12 quarts
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
We conclude that
3 gallons are equivalent to 12 quarts:
3 gallons = 12 quarts

Question 8.
24 quarts = ________________ gallons
Answer: 6 gallons
Explanation:
1 quart is equal to 0.25 gallons: 1 qt = 0.25 gal
To convert 24 quarts into gallons we have to multiply 24 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
24 qt → V(gal)
Solve the above proportion to obtain the volume V in gallons:
V(gal) = 24 qt × 0.25 gal
V(gal) = 6 gal
We conclude that 24 quarts are equivalent to 6 gallons:
24 quarts = 6 gallons

Question 9.
20 cups = ________________ quarts
Answer: 5 quarts
Explanation:
1 cup is equal to 0.25 quarts: 1 cup = 0.25 qt
To convert 20 cups into quarts we have to multiply 20 by the conversion factor in order to get the volume amount from cups to quarts. We can also form a simple proportion to calculate the result:
1 cup → 0.25 qt
20 cup → V(qt)
Solve the above proportion to obtain the volume V in quarts:
V(qt) = 20 cup × 0.25 qt
V(qt) = 5 qt
We conclude that 20 cups is equivalent to 5 quarts:
20 cups = 5 quarts

Question 10.
3 quarts = ________________ cups
Answer: 12 cups
Explanation:
1 quart is equal to 4 cups: 1 qt = 4 cup
To convert 3 quarts into cups we have to multiply 3 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
3 qt → V(cup)
Solve the above proportion to obtain the volume V in cups:
V(cup) = 3 qt × 4 cup
V(cup) = 12 cup
We conclude that 3 quarts are equivalent to 12 cups:
3 quarts = 12 cups

Question 11.
2 gallons = ________________ pints
Answer: 16 pints
Explanation:
1 gallon is equal to 8 pints:
1 gal = 8 pt
To convert 2 gallons into pints we have to multiply 2 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
2 gal → V(pt)
Solve the above proportion to obtain the volume V in pints:
V(pt) = 2 gal × 8 pt
V(pt) = 16 pt
We conclude that 2 gallons are equivalent to 16 pints:
2 gallons = 16 pints

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

Question 12.
8 pints 15 cups
Answer: greater than (>)
Explanation:
The conversion factor from pints to cups is 2, which means that 1 pint is equal to 2 cups:
1 pt = 2 cup
To convert 8 pints into cups we have to multiply 8 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
8 pt → V(cup)
Solve the above proportion to obtain the volume V in cups:
V(cup) = 8 pt × 2 cup
V(cup) = 16 cup
The final result is:
8 pt → 16 cup
We conclude that 8 pints are equivalent to 16 cups:
8 pints = 16 cups
16 cups are greater than (>) 15 cups.
16 > 15.
Therefore, the answer is greater than(>).

Question 13.
12 cups 8 pints
Answer: less than(<)
Explanation:
1 cup is equal to 0.5 pints:
1 cup = 0.5 pt
To convert 12 cups into pints we have to multiply 12 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
12 cup → V(pt)
Solve the above proportion to obtain the volume V in pints:
V(pt) = 12 cup × 0.5 pt
V(pt) = 6 pt
We conclude that 12 cups is equivalent to 6 pints:
12 cups = 6 pints
6 pints < 8 pints
Therefore, the answer is less than (<).

Question 14.
4 gallons 30 pints
Answer: greater than (>)
Explanation:
1 gallon is equal to 8 pints:
1 gal = 8 pt
To convert 4 gallons into pints we have to multiply 4 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
4 gal → V(pt)
Solve the above proportion to obtain the volume V in pints:
V(pt) = 4 gal × 8 pt
V(pt) = 32 pt
We conclude that 4 gallons are equivalent to 32 pints:
4 gallons = 32 pints
32 pints is greater than (>) 30 pints.
therefore, the answer is greater than.

Question 15.
2 quarts 8 cups
Answer: equal to (=)
Explanation:
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
We conclude that 2 quarts are equivalent to 8 cups:
2 quarts = 8 cups
Now compare the cups: 8 and 8
8 cups = 8 cups
both are equal. Therefore, the answer is equal to(=).

Apply It

Question 16.
Seth made 4 quarts of fruit punch for a birthday party. How many cups of fruit punch did he make?
Answer: 16 cups.
Explanation:
The above-given:
The fruit punch made by Seth in quarts = 4
The number of cups of fruit punch he can make = V(cup)
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
Therefore, he can make 16 cups of fruit punch.

Question 17.
If you measure the amount of water you drink in a day, would cups or pints give you a more precise measurement? Explain.
Answer: cups are more precise.
cups because you probably drink about a cup or more when you get water
1 pint = 2 cups
1 cup = 0.5 pints
Cups measure the volume of liquids such as milk, water, oil, or solid powders like sugar, flour or washing powder. As we fill up the Measuring Cup, we are required to see at which number it is filled. 2 cups of a liquid is similar to 1 pint. Thus, the Cup can also hold 2 pints (4 cups equals 2 pints).

Question 18.
Mathematical PRACTICE Be Precise Peggy measured the capacity of her aquarium. Her first measurement was 9 gallons. Her second measurement was 35 quarts. Compare the two measurements. Use >, <, or = to make a true statement.

Answer: greater than (>).
Explanation:
The above-given:
The first measurement is 9 gallons.
The second measurement is 35 quarts.
1 gallon is equal to 4 quarts: 1 gal = 4 qt
To convert 9 gallons into quarts we have to multiply 9 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
9 gal → V(qt)
Solve the above proportion to obtain the volume V in quarts:
V(qt) = 9 gal × 4 qt
V(qt) = 36 qt
We conclude that
9 gallons are equivalent to 36 quarts:
9 gallons = 36 quarts
36 quarts is greater than (>) 35 quarts.
Therefore, the answer is greater than (>).

Question 19.
Mathematical PRACTICE Justify Conclusions Is it faster to water, two large flower pots using a one-cup pitcher or a one-quart pitcher? Explain.
Answer:
1 cup = 0.25 quarts
1 quart = 4 cups
According to the above statements, it is better to water with a one-quart pitcher.
as they were large pots it is easy to water with a quart pitcher.

Write About It

Question 20.
How can I use measuring tools to find capacity?
Answer:
In the US standard system, fluid ounces, cups, pints, quarts, and gallons are used to measure capacity. Measuring tools to measure capacity You can measure capacity with spoons, measuring cups, and measuring jars.
1 cup = 8 fluid ounces
1 pint = 2 cups
1 quartz = 2 pints
1 gallon = 4 quarts.

McGraw Hill My Math Grade 5 Chapter 11 Lesson 6 My Homework Answer Key

Practice

Complete.

Question 1.
4 cups = ______________ pints
Answer: 2 pints
Explanation:
1 cup is equal to 0.5 pints:
1 cup = 0.5 pt
To convert 4 cups into pints we have to multiply 4 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
4 cup → V(pt)
Solve the above proportion to obtain the volume V in pints:
V(pt) = 4 cup × 0.5 pt
V(pt) = 2 pt
We conclude that 4 cups is equivalent to 2 pints:
4 cups = 2 pints.

Question 2.
16 quarts = ______________ gallons
Answer: 4 gallons
Explanation:
1 quart is equal to 0.25 gallons: 1 qt = 0.25 gal
To convert 16 quarts into gallons we have to multiply 16 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
16 qt → V(gal)
Solve the above proportion to obtain the volume V in gallons:
V(gal) = 16 qt × 0.25 gal
V(gal) = 4 gal
We conclude that 16 quarts are equivalent to 4 gallons:
16 quarts = 4 gallons

Question 3.
8 quarts = ______________ pints
Answer: 16 pints
Explanation:
1 quart is equal to 2 pints: 1 qt = 2 pt
To convert 8 quarts into pints we have to multiply 8 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
8 qt → V(pt)
Solve the above proportion to obtain the volume V in pints:
V(pt) = 8 qt × 2 pt
V(pt) = 16 pt
We conclude that 8 quarts are equivalent to 16 pints:
8 quarts = 16 pints

Question 4.
7 pints = ______________ cups
Answer: 14 cups
Explanation:
The conversion factor from pints to cups is 2, which means that 1 pint is equal to 2 cups:
1 pt = 2 cup
To convert 7 pints into cups we have to multiply 7 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
7 pt → V(cup)
Solve the above proportion to obtain the volume V in cups:
V(cup) = 7 pt × 2 cup
V(cup) = 14 cup
The final result is:
7 pt → 14 cup
We conclude that 7 pints are equivalent to 14 cups:
7 pints = 14 cups

Question 5.
5 gallons = ______________ pints
Answer: 40 pints
Explanation:
1 gallon is equal to 8 pints:
1 gal = 8 pt
To convert 5 gallons into pints we have to multiply 5 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
5 gal → V(pt)
Solve the above proportion to obtain the volume V in pints:
V(pt) = 5 gal × 8 pt
V(pt) = 40 pt
We conclude that 5 gallons are equivalent to 40 pints:
5 gallons = 40 pints

Question 6.
28 cups = ______________ quarts
Answer: 7 quarts.
Explanation:
1 cup is equal to 0.25 quarts: 1 cup = 0.25 qt
To convert 28 cups into quarts we have to multiply 28 by the conversion factor in order to get the volume amount from cups to quarts. We can also form a simple proportion to calculate the result:
1 cup → 0.25 qt
28 cup → V(qt)
Solve the above proportion to obtain the volume V in quarts:
V(qt) = 28 cup × 0.25 qt
V(qt) = 7 qt
We conclude that 28 cups is equivalent to 7 quarts:
28 cups = 7 quarts

Vocabulary Check

Question 7.
Fill in the blank with the correct word to complete the sentence below.
______________ is the measure of how much a container can hold.
Answer: capacity.
The amount of anything a container can hold is its volume or its capacity. It is different from the weight which is the heaviness or mass of the particular item and it is measured using a scale.

Problem Solving

Question 8.
Mathematical PRACTICE Reason Sophie drank 8 cups of water one day. How many pints of water did she drink?
Answer: 4 pints
Explanation:
1 cup is equal to 0.5 pints:
1 cup = 0.5 pt
To convert 8 cups into pints we have to multiply 8 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
8 cup → V(pt)
Solve the above proportion to obtain the volume V in pints:
V(pt) = 8 cup × 0.5 pt
V(pt) = 4 pt
We conclude that 8 cups is equivalent to 4 pints:
8 cups = 4 pints
Therefore, 4 pints of water she drinks.

Question 9.
A container holds 26 pints of water. Circle whether 26 pints is greater than, less than, or equal to 12 quarts.
greater than
less than
equal to
Answer:

The above-given:
The container can hold water in pints = 26
and also given 12 quarts. According to the above question,
1 quart is equal to 2 pints: 1 qt = 2 pt
To convert 12 quarts into pints we have to multiply 12 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
12 qt → V(pt)
Solve the above proportion to obtain the volume V in pints:
V(pt) = 12 qt × 2 pt
V(pt) = 24 pt
12 quarts = 24 pints
given 26 pints, now compare
24 is less than 26
Therefore, the answer is less than (<)

Question 10.
Coach Cole measured the capacity of his water cooler. His first measurement was 6 gallons. His second measurement was 25 quarts. Compare the two measurements. Use >, <, or = to make a true statement.
Answer: less than (<).
Explanation:
The above-given:
The first measurement is 6 gallons
The second measurement is 25 quarts.
1 gallon is equal to 4 quarts: 1 gal = 4 qt
To convert 6 gallons into quarts we have to multiply 6 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
6 gal → V(qt)
Solve the above proportion to obtain the volume V in quarts:
V(qt) = 6 gal × 4 qt
V(qt) = 24 qt
We conclude that
6 gallons are equivalent to 24 quarts:
6 gallons = 24 quarts
Now compare the quarts: 24 and 25
24 quarts < 25 quarts.

Question 11.
If you are measuring the amount of water evaporated from a swimming pool, would gallons or quarts give you a more precise measurement? Explain.
Answer:
We can use gallons to measure the amount of water evaporated from the swimming pool. It depends on the size of the pool and how long you are willing to wait for it to evaporate. The small kiddie pool would be quarts, the big pool would probably be gallons.
Most of the swimming pools are large in size so we use gallons.

Question 12.
Jason is a zookeeper and needs to fill a large tub of water for a zebra. Would it be faster to use a one-quart container or a one-gallon container? Explain.

Answer:
The given: 6 gallons of a bucket.
1 quart = 0.25 gallons
1 gallon = 4 quarts
To fill a large tub Jason should use a one-gallon container. If Jason uses the 1-gallon container the tub will fill fastly.