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Wiskunde

Omtrek, oppervlakte en volume

Opvoeders afdeling

Memorandum

20.3.2

a) sfeer

piramide

kubus

silinder

driehoekige

kegel

seshoekige prisma

c) b) 8; 12; 6

c) 5; 8; 5

d) 6; 10; 6

e) 12; 18; 8

f) 6; 9; 5

d) a) reghoekige prisma

b) kubus

c) piramide

d) vyfhoekige piramide

e) seshoekige prisma

Leerders afdeling

Inhoud

Aktiwiteit: drie-dimensionele voorwerpe [lu 3.1, lu 3.2]

20. Drie-dimensionele voorwerpe

20.1 Het jy geweet?

Twee-dimensionele voorwerpe het net twee dimensies, nl. lengte en breedte, wat ons in staat stel om die omtrek en oppervlakte te bereken.

Drie-dimensionele voorwerpe het drie dimensies, lengte , breedte en hoogte , wat ons in staat stel om die volume te bereken.

20.2 Het jy ook geweet?

20.3 Kom ons kyk eers na ’n paar drie-dimensionele voorwerpe:

20.3.1 Interessant om te weet!

Drie-dimensionele figure staan ook as “ruimtefigure” bekend. Sommige figure het vier of meer syvlakke (sien skets hierbo) en word “veelvlakke” of “poliëders” genoem.

Die woord “poliëder” kom van die Griekse woord “poluedron” wat “baie kante” beteken. Die eerste veelvlakke is meer as 2 000 jaar gelede deur ’n Griekse Wiskundige, Euclides, beskryf.

20.3.2 Werk met ‘n friend

a) Pas elke vorm by die korrekte beskrywing:

pyramide
seshoekige prisma
sfeer
kegel
driehoekige prisma
kubus
silinder

b) Gebruik nou die inligting hierbo en groepeer die volgende items. Verstrek redes waar­om julle die vorms so gegroepeer het wanneer julle terugvoering aan die klas gee.

c) Voltooi die volgende tabel.

Figuur Hoekpunt Rand/kant Vlak/syvlak
e.g.a) 8 12 6
b) __________ __________ __________
c) __________ __________ __________
d) __________ __________ __________
e) __________ __________ __________
f) __________ __________ __________

d) Kan jy al die figure hierbo benoem?

a) _______________________________________________________________

b) _______________________________________________________________

c) _______________________________________________________________

d) _______________________________________________________________

e) _______________________________________________________________

f) _______________________________________________________________

21. Kom ons bekyk drie-dimensionele voorwerpe van naderby!

21.1.1 Het jy geweet?

’n Kubus is ’n vierkantige vorm. Al sy kante is dus ewe lank.

21.1.2 Kyk na hierdie kubus.

Kan jy dieselfde kubus vanuit ’n ander hoek teken?

Assessering

Leeruitkomste 3: Die leerder is in staat om eienskappe van en verwantskappe tussen twee-dimensionele vorms en drie-dimensionele voorwerpe in ‘n verskeidenheid oriëntasies en posisies te beskryf en voor te stel.

Assesseringstandaard 3.1: Dit is duidelik wanneer die leerder meetkundige figure en drie-dimensionele voorwerpe in natuurlike en kulturele vorms en ‘n meetkundige agtergrond herken, visualiseer en benoem, insluitend dié wat vroeër behandel is;

Assesseringstandaard 3.2: Dit is duidelik wanneer die leerder meetkundige figure en driedimensionele voorwerpe volgens eienskappe in kontekste beskryf en klassifiseer, insluitend dié wat gebruik kan word om ‘n bewustheid van sosiale, kulturele en omgewingsake te bevorder.

Questions & Answers

Application of nanotechnology in medicine
what is variations in raman spectra for nanomaterials
Jyoti Reply
I only see partial conversation and what's the question here!
Crow Reply
what about nanotechnology for water purification
RAW Reply
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
Damian
yes that's correct
Professor
I think
Professor
what is the stm
Brian Reply
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
Rafiq
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
Damian
How we are making nano material?
LITNING Reply
what is a peer
LITNING Reply
What is meant by 'nano scale'?
LITNING Reply
What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
how nano science is used for hydrophobicity
Santosh
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
Rafiq
if virus is killing to make ARTIFICIAL DNA OF GRAPHENE FOR KILLED THE VIRUS .THIS IS OUR ASSUMPTION
Anam
analytical skills graphene is prepared to kill any type viruses .
Anam
what is Nano technology ?
Bob Reply
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
why?
Adin
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
Praveena Reply
hi
Loga
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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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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