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Wiskunde

Omtrek, oppervlakte en volume

Opvoeders afdeling

Memorandum

Suiker / rys / sand maak kubus vol

1 000

1 000

24.3

a) 500

b) 200; 200

c) 30

d) 1 500; 1,500

e) 3 000

f) 0,950

147 liters

MODULE TOETS

1.

a) 4

b) 30 000

c) 6

d) 2,5

e) 5

f) 2 000 000

g) 1

h) 1 000

2.

a) kubus

b) piramide

  • 8
  • 5

4.

5. 114 mm

6. 48,72 kubieke cm

7. Braaikamer= 28,125 vierkante meter

Teëls = 0,0625 vierkante meter

Teëls benodig: 45

8.

a) Tenk hou 38,985 kubieke meter = 38 985 000 kubieke cm

Dus: 38 985 liters

b) 38,985 kl

Leerders afdeling

Inhoud

Aktiwiteit: volume en inhoud [lu 4.3, lu 4.5]

24. VOLUME EN INHOUD

24.1 Kom ons kyk na die twee terme: volume en inhoud .

VOLUME

Hoeveelheid ruimte deur iets ingeneem.

Word in kubieke eenhede gemeet: m³; cm³; mm³

INHOUD

Verwys gewoonlik na vloeistowwe.

Word gewoonlik in kℓ, liter of mℓ gemeet

24.2 LET OP:

Jy weet reeds 1 cm³ = 1 mℓKom ons kyk nou hoeveel cm ³ is daar in 1 liter

  • Teken die volgende ontvouing op karton (wees akkuraat!)

§ Knip dit dan uit en vou al op die stippellyne.

§ As jy reg gewerk het, sal jy ’n kubus hê van 1 000 cm ³ .

§ Neem nou enige liter bottel of maatsilinder wat 1 liter kan hou en maak dit vol suiker, rys of sand. Gooi dit oor in jou kubus. Wat merk jy op?

  • Voltooi: 1 liter = __________________ mℓ

= _________________________ cm³

24.3 Vul die ontbrekende antwoorde in:

a) 500 mℓ = __________________ cm³

b) __________________ mℓ = 0,200 liter = __________________ cm³

c) 30 mℓ = __________________ cm³

d) __________________ mℓ = 1 500 cm³ = __________________ liter

e) 3 liter = __________________ cm³

f) __________________ liter = 950 cm³

24.4 Die binnemate van ’n bad is 60 cm by 140 cm by 35 cm. Hoeveel liter water sal in die bad wees as dit halfvol is?

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

25. Tyd vir selfassessering

  • Maak ’n regmerkie in die toepaslike kolom:
Ja Nee
Ek kan die volgende begrippe verduidelik:
  • Inhoud
  • Volume
Ek weet in watter eenhede volume gemeet word
Ek kan cm ³ na mm ³ herlei en andersom
Ek kan m ³ na cm ³ herlei en andersom
Ek ken die formule vir die volume van ’n
  • Reghoekige prisma
  • Kubus
Ek kan die volume van figure korrek bereken
Ek weet hoe om die volume van ’n onreëlmatige figuur te bepaal
Ek kan ml na cm ³ herlei en andersom
Ek kan liter na cm 3 herlei en andersom

26. UITDAGING!

’n Maatskappy wat lekkers bemark, vra jou om ’n houer te ontwerp vir ’n nuwe soort lekker. Elke lekker lyk soos ’n gelyksydige drie­hoek waarvan die sye 3 cm lank is. Elke lekker is 1 cm dik.

a) Ontwerp die houer! Besluit self hoeveel van die bogenoemde lekkers in jou houer sal kan pas.

b) Ontwerp ’n etiket vir die houer wat die aandag van moontlike kopers sal trek!

Assessering

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

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

Assesseringstandaard 4.5: Dit is duidelik wanneer die leerder die volgende bereken deur die geskikte formules te gebruik.

Module toets

1. Vul die ontbrekende antwoord in.

a) 400 mm² = __________________ cm²

b) 3 m² = __________________ cm²

c) 6 000 000 m² = __________________ km²

d) 20 500 m² = __________________ ha

e) 5 000 mm³ = __________________ cm³

f) 2 m³ = __________________ cm³

g) 1 cm³ = __________________ ml

h) 1 litre = __________________ cm³ (8 x 1 = 8)

2. Wat noem ons die volgende figure?

a)

_______________________________________

b)

_______________________________________

(2)

3.1 Hoeveel hoekpunte het figuur a? _____________________________

3.2 Hoeveel syvlakke het figuur b? ________________________________

(2)

4. Twee dele van die ontvouing van die figuur ontbreek. Trek hulle in.

(2)

5. Bereken die omtrek van die volgende figuur:

(3)

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

(3)

6. Bereken die oppervlakte van ’n reghoek in cm 2 met lengte 87 mm en breedte 56 mm.

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

(3)

7. My braaikamer is 6,25 m lank en 4,5 m breed. Ek wil die vloer bedek met teëls van 250 mm by 250 mm. Hoeveel teëls benodig ek?

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

(5)

8. Die binnemate van ’n reghoekige vistenk is 3 m by 2,3 m by 5,65 m.

a) Hoeveel liter water kan hierdie vistenk hou?

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

(4)

b) Hoeveel kiloliter water kan die vistenk hou?

_____________________________________________________________________

(1)

Questions & Answers

how to know photocatalytic properties of tio2 nanoparticles...what to do now
Akash Reply
it is a goid question and i want to know the answer as well
Maciej
Do somebody tell me a best nano engineering book for beginners?
s. Reply
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
s.
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
Damian
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
Virgil
is Bucky paper clear?
CYNTHIA
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
Do you know which machine is used to that process?
s.
how to fabricate graphene ink ?
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
On having this app for quite a bit time, Haven't realised there's a chat room in it.
Cied
what is biological synthesis of nanoparticles
Sanket Reply
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
China
Cied
types of nano material
abeetha Reply
I start with an easy one. carbon nanotubes woven into a long filament like a string
Porter
many many of nanotubes
Porter
what is the k.e before it land
Yasmin
what is the function of carbon nanotubes?
Cesar
I'm interested in nanotube
Uday
what is nanomaterials​ and their applications of sensors.
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
anybody can imagine what will be happen after 100 years from now in nano tech world
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
how hard could it be to apply nanotechnology against viral infections such HIV or Ebola?
Damian
silver nanoparticles could handle the job?
Damian
not now but maybe in future only AgNP maybe any other nanomaterials
Azam
Hello
Uday
I'm interested in Nanotube
Uday
this technology will not going on for the long time , so I'm thinking about femtotechnology 10^-15
Prasenjit
can nanotechnology change the direction of the face of the world
Prasenjit Reply
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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