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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

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
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
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
Damian Reply
absolutely yes
Daniel
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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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