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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

how can chip be made from sand
Eke Reply
is this allso about nanoscale material
Almas
are nano particles real
Missy Reply
yeah
Joseph
Hello, if I study Physics teacher in bachelor, can I study Nanotechnology in master?
Lale Reply
no can't
Lohitha
where is the latest information on a no technology how can I find it
William
currently
William
where we get a research paper on Nano chemistry....?
Maira Reply
nanopartical of organic/inorganic / physical chemistry , pdf / thesis / review
Ali
what are the products of Nano chemistry?
Maira Reply
There are lots of products of nano chemistry... Like nano coatings.....carbon fiber.. And lots of others..
learn
Even nanotechnology is pretty much all about chemistry... Its the chemistry on quantum or atomic level
learn
Google
da
no nanotechnology is also a part of physics and maths it requires angle formulas and some pressure regarding concepts
Bhagvanji
hey
Giriraj
Preparation and Applications of Nanomaterial for Drug Delivery
Hafiz Reply
revolt
da
Application of nanotechnology in medicine
has a lot of application modern world
Kamaluddeen
yes
narayan
what is variations in raman spectra for nanomaterials
Jyoti Reply
ya I also want to know the raman spectra
Bhagvanji
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
Nasa has use it in the 60's, copper as water purification in the moon travel.
Alexandre
nanocopper obvius
Alexandre
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
Any one who tell me about Preparation and application of Nanomaterial for drug Delivery
Hafiz
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
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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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