MATH

VOLUME AND

CAPACITY

Our Prior Knowledge

Definitions

VOLUME

Is the measure of an object´s ability to hold a substance like a solid, a liquid,or a gas.

CAPACITY

Capacity is the space taken up by the object itself.

Volume CapacityThe volume of a solid is the amount of space it occupies.

Capacity is the amount of liquid a container can hold when it is full.

volume is the space taken up by the object itself.

capacity refers to the ability of something to hold, receive or absorb.

If the length, width, and height of this three-dimensional container, measures 5 cm, 10 cm, and 20 cm respectively, the volume is 5 cm × 10 cm × 20 cm = 1000 cm3.By definition, 1000 cm3 = 1 liter.1 milliliter is grossly the dimension of a container with length, width, and height of 1 cm, 1 cm, and 1 cm respectively since 1 cm × 1 cm × 1 cm = 1 cm3.

Kilo is prefix which refers to a multiplication by 1000, so 1 kiloliter = 1 liter × 1000 = 1000 liters1 kiloliter is approximately the capacity of a king-size water bed. As you may have noticed, kiloliters are used to measure huge quantity.

Items that may require millimeters to measure them :A glass of waterA one scoop ice creamA bottle of perfumeItems that may require kiloliters to measure them:Amount of oil or gas heat in your tankAnnual milk productionAmount of water in swimming pool

Items that may require liters to measure them:Amount of water consumed in a day by a human beingAmount of milk a cow will give per day

DISCOVERING VOLUME MEASUREMENTS

BY: MARIA CAMILA MARTINEZ ELENA RUBIO

This is capacity because this is a liquid and it is measured in ml and capacity is the amount of substance a container can hold.

This is capacity because shampoo is a thick liquid and ml is the measure we use for capacity.

This is capacity because soda is a liquid and it is measured in liters.

CAPACITY

VOLUME

CUBIC UNITS

MeasureWith

CUBIC METER

CUBIC DECIMETER

CUBIC CENTIMETER

CUBIC MILIMITER

CUBIC METER 1 M3 1/100 1/100.000 1/1000.000.000

CUBIC DECIMETER

1000 1 DM3 1/1000 1000.000

CUBIC CENTIMETER

1000.000 100 1 CM 3 1/1000

CUBIC MILIMITER

100.000.000 1000.000 1000 1 MM3

VOLUME MEASUREMENTS

1 CUP 8 FLUID ONCES

1/2 PINTS 16 TABLESPOONS

250 ML

2 CUPS 16 FLUID ONCES

1 PINTS 32 TABLESPOONS

500 ML

4 CUPS 32 FLUID ONCES

2 QUARTS 64 TABLESPOONS

1000 ML

2 PINTS 64 FLUID ONCES

1 QUART 8 CUPS 1000 ML

4 QUARTS 128 FLUID ONCES

1 GALLON 16 CUPS 4000 ML

8 QUARTS 256 FLUID ONCES

2 GALLONS 32 CUPS 8000 ML

3 Teaspoons 1 Tablespoon

1 Tablespoon 3 Teaspoons

2 Tablespoons 1/8 Cup

4 Tablespoons ¼ Cup

5 TablespoonsPlus 1 Teaspoon

1/3 Cup

8 Tablespoons ½ Cup

10 Tablespoons plus 2 Teaspoon

2/3 Cup

12 Tablespoons ¾ Cup

16 Tablespoons 1 Cup

PHASE 2:QUESTIONS

BY: MARIA CAMILA MARTINEZ

Questions…

• How much time you spend while taking a shower ?• How many times a day do you do that ?• How many time in a week do you take a shower ?• How many times do you flush the toilet in 24

hours ?• How long that it takes to brush your teeth? How

much water do you spend ?• How many times a day do you brush your teeth ?• How many that it takes to wash your hand? How

many water do you spend?• Propose two word problems

elena maria camila

5

8

How much time do you spend while taking a shower ?

minutes

elena maria camila

2

1

How many times a day do you do that ?

times

elena maria camila

14

7

How many times a week do you take a shower ?

times

elena maria camila

6

9

How many times do you flush the toilet in 24 hours ?

gallons

elena maria camila

3

2

How long does it take to brush your teeth ?

minutes

elena maria camila

3 3

How much water do you spend brushing your teeth ?

gallons

elena maria camila

3 3

How many times a day do you brush your teeth ?

times

elena maria camila

1

2

How long does it take to wash your hands ?

minutes

elena maria camila

8

6

How much water do you spend washing your hands ?

gallons

•Ana uses 50 gallons when she takes a shower, Ana takes 3 shower a day. How many gallons does she use in a week?

•One drop of oil can damage 25 liters of Water, how many liters of water are damaged with 83 drops of oil?

WORD PROBLEMS

•50 x 3 = 150 Gallons 150 x 7 = 1050 Gallons

Ana uses 1050 gallons in a week

ANSWERS

•25 x 83 =  2075 2075 liters of water would be damaged.

DISCOVERING VOLUME

MEASUREMENTS

DISCOVERING VOLUME MEASURMENTS

Savannah, Connor, Ethan and Morgan want to make ice cream. They each have a different amount of milk (5-7-2 and 6 quarts) and a different amount of Sugar (5-14-13 and 9 cups). One batch of ice cream requires 4 cups of Milk and 3 cups of sugar.

1. If Savannah had 8 times as much milk, Savannah would have 10 gallons of milk.

2. The person, who has nine cups of sugar, has 11 less cups of sugar than cups of milk.

3. The person, who has 13 cups of sugar, has 5 more cups of sugar than cups of milk.

4. If Connor have 7 times as much milk, Connor would have 12 gallons and 1 quart of milk.

5. If Morgan have 4 more cups of sugar, Morgan would have a total of 9 pints of sugar.

6. Savannah can make at least 2 batches of ice cream.7. If Ethan had 5 times as much milk, Ethan would have 2 gallons and 2

quarts of milk.

1. True because Savannah has 5 quarts of milk:

5 x 8 = 40 quarts40 quarts = 10 gallons(4 quarts = 1 gallon)

2. Morgan has 9 cups of sugar and 6 quarts of milk. True 20 minus 11 is 9

1 quart = 4 cups6 quarts = 20 cups

3. Ethan has 2 quarts of milk and 13 cups of sugarTrue, the difference between 8 and 3 is 5 and in 13 and 8 as

well.

2 quarts = 8 cups13 cups = 3 quarts

ANSWERS

4. False, because 4 x 3 is not 48

1 gallon = 4 quarts12 gallons = 48 and 1 quart

5. False, because 13 cups are 6 ½ pints not 9 pints.

2 cups = 1 pint1 cup = ½ pint13 cups= 6 ½ pints

6. False, Savannah can make 1 batch of ice-cream but she doesn’t have enough sugar

7. True: 1 gallon = 4 quarts2 gallons = 8 quarts2 quarts of milk x 5 = 10 quarts 10 quarts = 2 gallons and 2 quarts