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Wiskunde

Omtrek, oppervlakte en volume

Opvoeders afdeling

Memorandum

23.4

a) 108 kubieke cm

b) 72 kubieke cm

c) 23,625 kubieke cm

d) 108 kubieke cm

23.5

a) 20 kubieke cm

b) 63 000 kubieke mm

c) 24 000 kubieke cm

d) 1 728 kubieke cm

e) eie antwoord

Leerders afdeling

Inhoud

Aktiwiteit: volume [lo 4.2, lo 4.3]

23. VOLUME

23.1 Het jy geweet?

Die hoeveelheid ruimte wat deur ’n vaste liggaam ingeneem word, word die volume van die liggaam genoem. Die volume is dus die ruimte binne ’n hol houer. Dit word ook die kapasiteit of inhoud van die houer genoem.

23.2 BELANGRIK om te ONTHOU!

Volume word in kubieke meeteenhede gemeet. Ons gebruik die volgende eenhede:

kubieke mm : mm³

kubieke cm : cm³

kubieke m : m³

1 cm³ (kubieke sentimeter) is ’n kubus met lengte , breedte en hoogte 1cm.

1 cm³ = 1 cm x 1 cm x 1 cm

= 10 mm x 10 mm x 10 mm

= 1 000 mm3

1 m³ = 1 m x 1 m x 1 m

= 100 cm x 100 cm x 100 cm

= 1 000 000 cm³

23.3 LEER ook die volgende:

Volume van ’n reghoekige prisma is lengte × breedte × hoogte

Volume van ’n kubus is y 3 (y = lengte, breedte en hoogte)

23.4 Gebruik die formule volume = lengte × breedte × hoogte Bereken die volume van die volgende figure:

a)

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b)

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c)

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d)

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23.5 a) Bereken die volume van die volgende in cm ³

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b) Bereken die volume van die volgende in mm ³

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c) Wat is die volume van die figuur in cm ³ ?

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d) Bereken die volume van ’n kubus met lengte 12 cm.

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e) Skat die volume van die krytdosie in jou klaskamer. .........................Meet nou die kante van die dosie en bereken die volume akkuraat.

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23.6 KLASBESPREKING

Hoe sal julle die volume van ’n onreëlmatige figuur, bv. ’n klip, bepaal?

23.6.1 Het jy geweet?

’n Griekse Wiskundige, Archimedes, het ontdek hoe om die volume van ’n onreëlmatige figuur te meet terwyl hy gebad het! Hy het gesien water spat oor die rand toe hy in die bad inklim. Hy het besef dat as hy die volume water wat sy liggaam verplaas, kan meet, kan hy bepaal wat die volume van sy eie liggaam is. Archimedes was so opgewonde dat hy uit die bad gespring en poedelnakend in die straat afgehardloop en “Eureka!” (Ek het dit gevind!) geskree het.

23.6.2 Volg die volgende stappe en kyk of jy die volume van ’n klippie wat jy buite kan optel, kan meet.

a) Vul ’n koppie heeltemal tot bo met water en sit dit in ’n groter houer (bak). Onthou om te kyk presies hoeveel ml water daar in jou koppie is.

b) Laat sak die klippie stadig in die koppie. Maak seker dat die water wat oorloop, in jou houer (bak) val.

c) Meet die hoeveelheid water in die bak met behulp van ’n maatbeker in mℓ.

d) Jou klippie het ’n volume van 1 cm ³ vir elke mℓ water wat oorgeloop het, want 1 mℓ = 1 cm ³ .

e) Wat is die volume van jou klippie? .___________________________ ______

Assessering

Leeruitkomste 4: Die leerder is in staat om gepaste meeteenhede, instrumente en formules in ‘n verskeidenheid kontekste te gebruik.

Assesseringstandaard 4.2: Dit is duidelik wanneer die leerder probleme oplos;

Assesseringstandaard 4.3: Dit is duidelik wanneer die leerder probleme oplos deur ‘n verskeidenheid strategieë te gebruik;

Questions & Answers

the diagram of the digestive system
Assiatu Reply
How does twins formed
William Reply
They formed in two ways first when one sperm and one egg are splited by mitosis or two sperm and two eggs join together
Oluwatobi
what is genetics
Josephine Reply
Genetics is the study of heredity
Misack
how does twins formed?
Misack
What is manual
Hassan Reply
discuss biological phenomenon and provide pieces of evidence to show that it was responsible for the formation of eukaryotic organelles
Joseph Reply
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Yousuf Reply
the study of living organisms and their interactions with one another and their environments
AI-Robot
the study of living organisms and their interactions with one another and their environment.
Wine
discuss the biological phenomenon and provide pieces of evidence to show that it was responsible for the formation of eukaryotic organelles in an essay form
Joseph Reply
what is the blood cells
Shaker Reply
list any five characteristics of the blood cells
Shaker
lack electricity and its more savely than electronic microscope because its naturally by using of light
Abdullahi Reply
advantage of electronic microscope is easily and clearly while disadvantage is dangerous because its electronic. advantage of light microscope is savely and naturally by sun while disadvantage is not easily,means its not sharp and not clear
Abdullahi
cell theory state that every organisms composed of one or more cell,cell is the basic unit of life
Abdullahi
is like gone fail us
DENG
cells is the basic structure and functions of all living things
Ramadan
What is classification
ISCONT Reply
is organisms that are similar into groups called tara
Yamosa
in what situation (s) would be the use of a scanning electron microscope be ideal and why?
Kenna Reply
A scanning electron microscope (SEM) is ideal for situations requiring high-resolution imaging of surfaces. It is commonly used in materials science, biology, and geology to examine the topography and composition of samples at a nanoscale level. SEM is particularly useful for studying fine details,
Hilary
cell is the building block of life.
Condoleezza Reply
what is cell divisoin?
Aron Reply
Diversity of living thing
ISCONT
what is cell division
Aron Reply
Cell division is the process by which a single cell divides into two or more daughter cells. It is a fundamental process in all living organisms and is essential for growth, development, and reproduction. Cell division can occur through either mitosis or meiosis.
AI-Robot
What is life?
Allison Reply
life is defined as any system capable of performing functions such as eating, metabolizing,excreting,breathing,moving,Growing,reproducing,and responding to external stimuli.
Mohamed
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Source:  OpenStax, Wiskunde graad 7. OpenStax CNX. Oct 21, 2009 Download for free at http://cnx.org/content/col11076/1.2
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