Capacity & Volume
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Transcript of 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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