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.

Let us look at the next word problem on "Customary units of capacity"

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. 

Let us look at the next word problem on "Customary units of capacity"

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. 

Let us look at the next word problem on "Customary units of capacity"

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

Let us look at the next word problem on "Customary units of capacity"

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

Let us look at the next word problem on "Customary units of capacity"

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.  

Let us look at the next word problem on "Customary units of capacity"

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. 

Let us look at the next word problem on "Customary units of capacity"

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. 

Let us look at the next word problem on "Customary units of capacity"

Problem 9 :

Who is better,

Lily can prepare 10.4 gallons of juice in 4 days

or 

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 

Let us look at the next word problem on "Customary units of capacity"

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". 

Apart from the stuff given above, if you want to know more about "Customary units of capacity", please click here.

If you need any other stuff in math, please use our google custom search here. 

HTML Comment Box is loading comments...

ALGEBRA

Variables and constants

Writing and evaluating expressions

Solving linear equations using elimination method

Solving linear equations using substitution method

Solving linear equations using cross multiplication method

Solving one step equations

Solving quadratic equations by factoring

Solving quadratic equations by quadratic formula

Solving quadratic equations by completing square

Nature of the roots of a quadratic equations

Sum and product of the roots of a quadratic equations 

Algebraic identities

Solving absolute value equations 

Solving Absolute value inequalities

Graphing absolute value equations  

Combining like terms

Square root of polynomials 

HCF and LCM 

Remainder theorem

Synthetic division

Logarithmic problems

Simplifying radical expression

Comparing surds

Simplifying logarithmic expressions

Negative exponents rules

Scientific notations

Exponents and power

COMPETITIVE EXAMS

Quantitative aptitude

Multiplication tricks

APTITUDE TESTS ONLINE

Aptitude test online

ACT MATH ONLINE TEST

Test - I

Test - II

TRANSFORMATIONS OF FUNCTIONS

Horizontal translation

Vertical translation

Reflection through x -axis

Reflection through y -axis

Horizontal expansion and compression

Vertical  expansion and compression

Rotation transformation

Geometry transformation

Translation transformation

Dilation transformation matrix

Transformations using matrices

ORDER OF OPERATIONS

BODMAS Rule

PEMDAS Rule

WORKSHEETS

Converting customary units worksheet

Converting metric units worksheet

Decimal representation worksheets

Double facts worksheets

Missing addend worksheets

Mensuration worksheets

Geometry worksheets

Comparing  rates worksheet

Customary units worksheet

Metric units worksheet

Complementary and supplementary worksheet

Complementary and supplementary word problems worksheet

Area and perimeter worksheets

Sum of the angles in a triangle is 180 degree worksheet

Types of angles worksheet

Properties of parallelogram worksheet

Proving triangle congruence worksheet

Special line segments in triangles worksheet

Proving trigonometric identities worksheet

Properties of triangle worksheet

Estimating percent worksheets

Quadratic equations word problems worksheet

Integers and absolute value worksheets

Decimal place value worksheets

Distributive property of multiplication worksheet - I

Distributive property of multiplication worksheet - II

Writing and evaluating expressions worksheet

Nature of the roots of a quadratic equation worksheets

Determine if the relationship is proportional worksheet

TRIGONOMETRY

SOHCAHTOA

Trigonometric ratio table

Problems on trigonometric ratios

Trigonometric ratios of some specific angles

ASTC formula

All silver tea cups

All students take calculus 

All sin tan cos rule

Trigonometric ratios of some negative angles

Trigonometric ratios of 90 degree minus theta

Trigonometric ratios of 90 degree plus theta

Trigonometric ratios of 180 degree plus theta

Trigonometric ratios of 180 degree minus theta

Trigonometric ratios of 180 degree plus theta

Trigonometric ratios of 270 degree minus theta

Trigonometric ratios of 270 degree plus theta

Trigonometric ratios of angles greater than or equal to 360 degree

Trigonometric ratios of complementary angles

Trigonometric ratios of supplementary angles 

Trigonometric identities 

Problems on trigonometric identities 

Trigonometry heights and distances

Domain and range of trigonometric functions 

Domain and range of inverse  trigonometric functions

Solving word problems in trigonometry

Pythagorean theorem

MENSURATION

Mensuration formulas

Area and perimeter

Volume

GEOMETRY

Types of angles 

Types of triangles

Properties of triangle

Sum of the angle in a triangle is 180 degree

Properties of parallelogram

Construction of triangles - I 

Construction of triangles - II

Construction of triangles - III

Construction of angles - I 

Construction of angles - II

Construction angle bisector

Construction of perpendicular

Construction of perpendicular bisector

Geometry dictionary

Geometry questions 

Angle bisector theorem

Basic proportionality theorem

ANALYTICAL GEOMETRY

Analytical geometry formulas

Distance between two points

Different forms equations of straight lines

Point of intersection

Slope of the line 

Perpendicular distance

Midpoint

Area of triangle

Area of quadrilateral

Parabola

CALCULATORS

Matrix Calculators

Analytical geometry calculators

Statistics calculators

Mensuration calculators

Algebra calculators

Chemistry periodic calculator

MATH FOR KIDS

Missing addend 

Double facts 

Doubles word problems

LIFE MATHEMATICS

Direct proportion and inverse proportion

Constant of proportionality 

Unitary method direct variation

Unitary method inverse variation

Unitary method time and work

SYMMETRY

Order of rotational symmetry

Order of rotational symmetry of a circle

Order of rotational symmetry of a square

Lines of symmetry

CONVERSIONS

Converting metric units

Converting customary units

WORD PROBLEMS

HCF and LCM  word problems

Word problems on simple equations 

Word problems on linear equations 

Word problems on quadratic equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation 

Word problems on unit price

Word problems on unit rate 

Word problems on comparing rates

Converting customary units word problems 

Converting metric units word problems

Word problems on simple interest

Word problems on compound interest

Word problems on types of angles 

Complementary and supplementary angles word problems

Double facts word problems

Trigonometry word problems

Percentage word problems 

Profit and loss word problems 

Markup and markdown word problems 

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

Pythagorean theorem word problems

Percent of a number word problems

Word problems on constant speed

Word problems on average speed 

Word problems on sum of the angles of a triangle is 180 degree

OTHER TOPICS 

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

Time, speed and distance shortcuts

Ratio and proportion shortcuts

Domain and range of rational functions

Domain and range of rational functions with holes

Graphing rational functions

Graphing rational functions with holes

Converting repeating decimals in to fractions

Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

Remainder when 2 power 256 is divided by 17

Remainder when 17 power 23 is divided by 16

Sum of all three digit numbers divisible by 6

Sum of all three digit numbers divisible by 7

Sum of all three digit numbers divisible by 8

Sum of all three digit numbers formed using 1, 3, 4

Sum of all three four digit numbers formed with non zero digits

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6