CUSTOMARY UNITS OF CAPACITY

About "Customary units of capacity"

"Customary units of capacity" is a system of measurements commonly used for capacity in the united states.

For measuring capacity, the U.S. customary system uses the cups, pints, quarts and gallons which are the only four customary capacity measurements in everyday use.

The relationship among the measurements cups, pints, quarts and gallons are given below.

Customary units of capacity - Conversion

Customary units of capacity - Practice problems

Problem 1 :

Convert 2 pints into cups.

Solution :

Here, we convert bigger unit into smaller unit. So we have to multiply.

2 pints = 2 x 2 cups

2 pints = 4 cups

Hence, 2 pints is equal to 4 cups.

Problem 2 :

Convert 3.5 quarts into cups .

Solution :

Here, we convert bigger unit into smaller unit. So we have to multiply.

3.5 quarts = 3.5 x 4 cups

3.5 quarts = 14 cups

Hence, 3.5 quarts is equal to 14 cups.

Problem 3 :

Convert 32 cups into quarts.

Solution :

Here, we convert smaller unit into bigger unit. So we have to divide.

32 cups = 32 / 4 quarts

32 cups = 8 quarts

Hence, 32 cups is equal to 8 quarts.

Problem 4 :

Convert 256 cups into gallons.

Solution :

Here, we convert smaller unit into bigger unit. So we have to divide.

256 cups = 256 / 16 gallons

256 cups = 16 gallons

Hence, 256 cups is equal to 16 gallons.

Problem 5 :

Convert 24 quarts into gallons

Solution :

Here, we convert smaller unit into bigger unit. So we have to divide.

24 quarts = 24 / 4 gallons

24 quarts = 6 gallons

Hence, 24 quarts is equal to 6 gallons.

Customary units of capacity - Word problems

Problem 1 :

David prepares 60 pints of juice in two hours. At the same rate, How many cups of juice will he prepare in one minute ?

Solution :

No. of pints prepared in 2 hours = 60

No. of pints prepared in 1 hour = 30

We know that 1 hour = 60 minutes and 1 pint = 2 cups

1 hour -----> 30 pints =====> 60 minutes -----> 30 x 2 cups

60 minutes -----> 60 cups

So, no. of cups prepared in 60 minutes = 60

No. of cups prepared in in one minute = 60 / 60

= 1 cup

Hence 1 cup of juice is prepared in 1 minute.

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Problem 2 :

Mark used 15840 cups of fuel in 45 minutes. Find the amount fuel used in one minute (in cups).

Solution :

No. of cups used in 45 minutes = 15840

No. of cups used in 1 minute = 15840 / 45

No. of cups used in 1 minute = 352

Hence 352 cups of fuel used in 1 minute.

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Problem 3 :

Kemka's little sister needs to take a bubble bath. The package says to put in a drop of bubble bath for every half gallon of water in the bath tub. If bathtub has 12 gallons of water, how many drops can she put into the bath for her sister?

Solution :

Half gallon of water -------> 1 drop of bubble bath

1 gallon of water -------> 2 drops of bubble bath

12 gallons of water -------> 12 x 2 drops of bubble bath

12 gallons of water -------> 24 drops of bubble bath

Hence, Kemka can put into 24 drops of bubble bath for her sister with 12 gallons of water.

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Problem 4 :

Ivan needs gas for his truck. He knows his truck holds 40 gallons of gas. If he is allowed to fill up 8 quarts of gas once in a time, how many times will he have to fill up his gas can to get his truck full of gas ?

Solution :

1 gallon = 4 quarts

40 gallons = 40 x 4 quarts = 160 quarts

So, he needs 160 quarts of gas to make his truck full of gas.

Once in a time, he can fill up 8 quarts of gas.

No. of times of filling to make the truck full of gas is

= 160 / 8

= 20

Hence Ivan has to fill up his gas can 20 times to get his truck full of gas

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Problem 5 :

A bath hols 83 gallons and a shower uses 34 gallons.Mrs. Hitchins has a bath. How much water will be saved if Mrs. Hitchins decides to have a shower ?

Solution :

No. of gallons used when Mrs. Hitchins has a bath = 83 ----(1)

No. of gallons used when Mrs. Hitchins has a shower = 34 ----(2)

Water saved = Dbetween (1) and (2)

Water saved = 83 - 34

Water saved = 49

Hence, 49 gallons water will be saved if Mrs. Hitchins decides to have a shower

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Problem 6 :

Jose had 256 cups of lemonade. He gave 3/4 of lemonade to his friend.How many pints of lemonade does Jose have now ?

Solution :

Amount of lemonade given to friend = 256 x 3/4

= 192 cups

No. of cups of lemonade that Jose has now = 256 - 192 = 64

1 pint = 2 cups

Therefore, No. of pints of lemonade that Jose has now = 64/2 = 32

Hence, no. of pints of lemonade that Jose has now is 32.

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Problem 7 :

Daniel can drive 440 miles with 20 gallons of gasoline. If he wants to travel 330 miles, how many gallons of gasoline does he need ?

Solution :

20 gallons of gasoline --------> 440 miles

1 gallon of gasoline --------> 440 / 20 = 22 miles

No. of gallons needed to travel 330 miles = 330 / 22

= 15 gallons

Hence Daniel needs 15 gallons of gasoline to travel 330 miles.

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Problem 8 :

Lily would like serve apple juice in cups. If she has 3.5 gallons of apple juice, how many cups can she serve ?

Solution :

1 gallon = 16 cups

No. of cups can be served with 3.5 gallons is

= 3.5 x 16

= 56

Hence Lily can serve 56 cups with 3.5 gallons.

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Problem 9 :

Who is better,

Lily can prepare 10.4 gallons of juice in 4 days

Rosy can prepare 7.5 gallons of juice in 3 days ?

Solution :

To compare the given measures, convert them in to unit rates.

Lily

No.gallons in 2 days = 5.2

No.of gallons in 1 day = 5.2/2

No.of gallons in 1 day = 2.6

Rosy

No. gallons in 3 days = 7.5

No. of gallons in 1 day = 7.5/3

No.of gallons in 1 day = 2.5

From the above unit rates, Lily prepares more gallons than day.

Hence, Lily is better

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Problem 10 :

Alex had 18.5 gallons of fuel. He gave 38 quarts to his friend. How many cups of fuel does he have now ?

Solution :

1 gallon = 4 quarts

18.5 gallons = 74 quarts

After giving 38 quarts to friend,

Now, no. of quarts having had by Alex = 74 - 38 = 36

1 quart = 4 cups

36 quarts = 36 x 4 cups

36 quarts = 144 cups

Hence, no. of cups of fuel that Alex has now is 144.

After having gone through the problems explained above, we hope that the students would have understood the stuff given on "Customary units of capacity".

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