Capacity & Volume

7/27/2019 Capacity & Volume

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Masantol DistrictEduardo Y. Pangilinan-ESHT-III


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What is

capacity?

???!!!


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What are the

different non-

standard units ofmeasure?


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What do you see in the picture?


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1 000 ml or 1 Litre

L = Litre; ml = milliliter


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Activity A.

Draw containers that can

hold an amount of waterless than one litre and

more than one litre.


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Activity B.

Complete the table following theformula 1 litre= 1 000 millilitres

1. _____ Litre = 6 000 millilitres2. 5 Litres = _______ millilitres

3. 7 Litres = _______ millilitres

4. _____ Litre = 8 000 millilitres

5. _____ Litre = 4 000 millilitres


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Activity C: Name the unit of capacity to use ineach square


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How do we measure

the capacity of anobject? What is the

standard unit ofmeasurements for

capacity?


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Volume- the amount of space

enclosed by a spatialfigure. It is expressed in

cubic units.


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DIFFERENCE BETWEEN VOLUME& CAPACITY

Volume refers to the amount of three-

dimensional space that it occupies. Some of

the most common units of volume includecubic meters, liters, millilitres and cubic

centimeters.Capacity refers to the ability of somethingto hold, receive or absorb.


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Volume is the amount of space taken up by

an object, while capacity is the measure ofan objects ability to hold a substance, like asolid, a liquid or a gas.

Volume is measured in cubic units, whilecapacity can be measured in almost everyother unit, including liters, gallons, pounds,etc.


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Eric wants to fill his plant box 5 m

long, 2 m wide and 3 m high. Howmuch soil is needed to fill the plant

box?

box ?


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How many cubes

are there along thelength?

How many rows are there?How many layers are there?

How many cubes are there in all?


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L- 5 m

W- 2 mH- 3 m

V= l x w x h

= 5 m x 2 m x 3 mV= 30 m3


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Complete the table below

LENGTH WIDTH HEIGHT VOLUME

4.5 cm 3 cm 6 cm

8 m 7 m 3 m5 cm 6 cm 9.2 cm

11 km 3 km 198 km3

5 m 6.4 m 144 m3


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Finding the volume of a cube

Vcube = (l x w x h)e x e x e or e3

Vcube

= 7 cm x 7 cm x 7 cm

V= 343 cm3


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Finding the volume of a cylinder

V = B x h

= 78.5 cm2 x 10 cm

V= 785 cm3


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Finding the volume of a cone

V = B x h3

= 78.5 cm2

x 10 cm3

V= 261.67 cm3

5 cm

10 cm


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Finding the volume of a pyramid

V = B x h

3

= 324 m2 x 28 m3

V= 9 072 m318 m

28 m


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Finding the volume of a sphere

V = 4 r3

3

= 4 x (3.14 x 63 )

3V= 4 (678.24)

3

V= 904.32 m3

6 cm


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How do you solve for

the volume of:a. Rectangular prism

b. Cubec. Cylinder

d. Cone

e. Pyramidf. Sphere


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Find the volume of the following

8 cm

12 cm

8 cm

6 m

21.5 m

13 mm

How many cubic units?

b= 5 mVolume = 175 m3

h=?


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Challenge!!!

Eric wants to fill his plant box 5 m long, 2

m wide and 3 m high. If 10 000 cm3 of soilcosts Php 1.50, how much will it cost him to

fill the plant box?

Find the volume of the figure below. The

hole in the figure go all the way through.

10 cm

13 cm

6 cm

3 cm

3 cm


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A soap in the form of a cube 2

inches on one side is to beplaced on a rectangular box

20.25 inches by 12 inches by 6inches. How many soap can be

placed in it?


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The Road to SuccessThere is a curve called failure, a

loop called confusion, speedbumps called friends, caution

lights called family, and you will


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have flats called jobs. But, if you

have a spare tire calleddetermination, an engine called

perseverance, insurance calledfaith, and a driver called God,

you will make it to a place calledSUCCESS!


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Documents

Capacity & Volume