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Wiskunde

Grade 8

Verhoudings en eweredigheid

Meting en vormleer

Konstruksies

Module 16

Volume en buite-oppervlakte van regte prismas

AKTIWITEIT 1

Om die volume en die buite-oppervlakte van regte prismas te ontdek en ‘n formule vir die berekening daarvan te formuleer, en die toepassing van die ontdekte formules in praktiese situasies te gebruik [LU 3.8, 4.2, 4.3, 4.5]

  • Inligting wat van nut kan wees in die uitvoer van hierdie ondersoek moet hier neergeskryf word. Jou onderwyser sal jou help om seker te maak dat die inligting korrek is, voordat jy met die ondersoek begin.

1. Skryf die formules vir die berekening van die oppervlakte en volume van elk van die volgende figure neer:

1.1 Oppervlakte van ‘n vierkant:

1.2 Oppervlakte van ‘n reghoek:

1.3 Oppervlakte van ‘n driehoek:

1.4 Oppervlakte van ‘n sirkel:

1.5 Volume van ‘n reghoekige prisma:

1.6 Volume van ‘n silinder:

2. Beskryf wat jy onder elk van die volgende verstaan en maak ‘n skets daarvan.

2.1 reghoekige prisma:

2.2 driehoekig prisma:

2.3 kubus:

2.4 silinder:

3. Wat verstaan jy onder die woord “volume”?

4. In watter standaardeenhede word die volgende gemeet?

  • volume:
  • water in ‘n dam, koeldrank in ‘n bottel:

5. Bestudeer die volgende voorstellings van nette.

5.1 reghoekige prisma:

5.2 driehoekige prisma (dit is nie ‘n regte piramide nie):

Assessering

LU 3
Ruimte en VormDie leerder is in staat om eienskappe van en verwantskappe tussen twee- dimensionele vorms en drie-dimensionele voorwerpe in ’n verskeidenheid oriënta-sies en posisies te beskryf en voor te stel.
Assesseringstandaarde(ASe)
3.3 gebruik woordeskat om parallelle lyne te beskryf wat deur ’n dwarslyn, loodlyne en snylyne gekruis word, asook driehoeke na aanleiding van hoekverwantskappe (bv. vertikaal teenoorstaande, ooreenkomstig);3.4 gebruik ’n passer, liniaal en gradeboog om meetkundige figure akkuraat te konstrueer sodat spesifieke eienskappe ondersoek en nette ontwerp kan word;3.5 ontwerp en gebruik nette om modelle te maak van meetkundige driedimensionele voorwerpe wat tot en met hierdie graad bestudeer is;3.7 gebruik proporsie om die uitwerking van vergroting en verkleining op die eienskappe van meetkundige figure te beskryf;3.8 teken en interpreteer sketse van meetkundige driedimensionele voorwerpe vanuit verskillende perspektiewe, met aandag aan die behoud van eienskappe.
LU 4
MetingDie leerder is in staat om gepaste meeteenhede, -instrumente en formules in ’n verskeidenheid kontekste te gebruik.
Dit is duidelik wanneer die leerder:
4.1 los ingewikkelder probleme op wat tyd behels, insluitend die verhouding tussen tyd, afstand en spoed;4.2 los probleme op wat die volgende behels:4.2.1 lengte;4.2.2 omtrek en oppervlakte van veelhoeke en sirkels;4.2.3 en volume en buite-oppervlakte van reghoekige prismas silinders.
4.3 los probleme op deur ’n verskeidenheid strategieë te gebruik, insluitend:4.3.1 skatting;4.3.2 berekening tot minstens twee desimale plekke;4.3.3 die gebruik en omskakeling van toepaslike SI eenhede;
4.5 bereken die volgende deur die geskikte formulas te gebruik:4.5.1 omtrek van veelhoeke en sirkels;4.5.2 oppervlakte van driehoeke, reghoeke, sirkels en veelhoeke deur ontbinding tot driehoeke en reghoeke;4.5.3 volume van prismas met driehoekige en reghoekige basisse en silinders.
4.7 skat, vergelyk, meet en teken hoeke met ’n gradeboog, akkuraat tot een graad.

Memorandum

AKTIWITEIT 1

  • 2
  • ℓ × b
  • 1 2 size 12{ { {1} over {2} } } {} × b × size 12{ ortho } {} h
  • π size 12{π} {} r 2
  • ℓ × b × h
  • π size 12{π} {} r 2 h

2. Leerders voorsien.

3. Inhoud

  • ℓ / mℓ / kℓ / cm 3 / mm 3 ens.
  • kℓ / ℓ / mℓ

Questions & Answers

Do somebody tell me a best nano engineering book for beginners?
s. Reply
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Devang Reply
are you nano engineer ?
s.
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Harper
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SUYASH Reply
for screen printed electrodes ?
SUYASH
What is lattice structure?
s. Reply
of graphene you mean?
Ebrahim
or in general
Ebrahim
in general
s.
Graphene has a hexagonal structure
tahir
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what's the easiest and fastest way to the synthesize AgNP?
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Cied
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abeetha Reply
I start with an easy one. carbon nanotubes woven into a long filament like a string
Porter
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Porter
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Yasmin
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Cesar
I'm interested in nanotube
Uday
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Ramkumar Reply
what is nano technology
Sravani Reply
what is system testing?
AMJAD
preparation of nanomaterial
Victor Reply
Yes, Nanotechnology has a very fast field of applications and their is always something new to do with it...
Himanshu Reply
good afternoon madam
AMJAD
what is system testing
AMJAD
what is the application of nanotechnology?
Stotaw
In this morden time nanotechnology used in many field . 1-Electronics-manufacturad IC ,RAM,MRAM,solar panel etc 2-Helth and Medical-Nanomedicine,Drug Dilivery for cancer treatment etc 3- Atomobile -MEMS, Coating on car etc. and may other field for details you can check at Google
Azam
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Prasenjit
after 100 year this will be not nanotechnology maybe this technology name will be change . maybe aftet 100 year . we work on electron lable practically about its properties and behaviour by the different instruments
Azam
name doesn't matter , whatever it will be change... I'm taking about effect on circumstances of the microscopic world
Prasenjit
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Damian
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not now but maybe in future only AgNP maybe any other nanomaterials
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I'm interested in Nanotube
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this technology will not going on for the long time , so I'm thinking about femtotechnology 10^-15
Prasenjit
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Prasenjit Reply
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Source:  OpenStax, Wiskunde graad 8. OpenStax CNX. Sep 11, 2009 Download for free at http://cnx.org/content/col11033/1.1
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