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    This module and collection are included inLens: Siyavula: Natural Sciences (Gr. 7-9)
    By: Siyavula

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Om die volume van liggame wat uit ‘n vaste stof bestaan te kan meet

Module by: Siyavula Uploaders. E-mail the author

NATUURWETENSKAPPE

Materie, Meting en Reaksies

Materie en Meting

OPVOEDER AFDELING

Memorandum

3. Volume van klip:

WETENSKAPLIKE FORMULE

  • Jy kan nie ‘n formule gebruik nie, want die klip is nie op al die plekke ewe lank of ewe breed nie.

WATERVERPLASING

Neem ‘n eerste lesing van die water in die meetsilinder. Bind daarna ‘n toutjie om die klip en laat sak dit in die meetsilinder gevul met water. Dan wag jy tot al die lugborrels ontsnap het en dan neem jy die tweede lesing. Trek die twee lesings van mekaar af en dan het jy die volume van die klip.

LEERDER AFDELING

Inhoud

AKTIWITEIT: Om die volume van liggame wat uit ‘n vaste stof bestaan te kan meet [LU 1.2]

Om te verduidelik hoe 'n mens die volumes van vaste liggame bepaal, gaan ons die volgende voorbeelde gebruik.(Ons gebruik liggame wat in ons maatsilinder kan inpas):

Figure 1
Figure 1 (graphics1.png)

'n Kubus is 'n reëlmatige sesvlak met al ses endvlakke loodreg op mekaar.

V = ℓ3

Figure 2
Figure 2 (graphics2.png)

'n Driehoekige prisma is 'n vyfvlak met twee identiese driehoekige endvlakke met drie syvlakke loodreg op die endvlakke.

V = ½bhH

Figure 3
Figure 3 (graphics3.png)

'n Reghoekige prisma is ‘n sesvlak met twee identiese reghoekige endvlakke met vier syvlakke loodreg op die endvlakke.

V = ℓbh

Twee maniere kan gebruik word om die volumes van die bogenoemde voorwerpe te bepaal:

  • Die berekening van volume deur die toepassing van 'n wetenskaplike formule;
  • Die berekening van volume deur die tegniek van waterverplasing.

Die tegniek van volumeberekening deur waterverplasing werk soos volg:

Die maatsilinder word halfvol water gemaak. Neem die lesing om te bepaal presies hoeveel water in die maatsilinder is. Daarna word die voorwerp waarvan die volume bepaal word, stadig in die maatsilinder laat sak.

Tik teen die maatsilinder om seker te maak dat lugborrels ontsnap.

Figure 4
Figure 4 (graphics4.png)
Neem nou weer 'n lesing. Trek die eerste lesing van die tweede lesing af om die volume te bepaal.

1. Gebruik nou albei metodes om die volumes van die gegewe voorwerpe te bepaal:

Table 1
Voorwerp Volume soos bereken Volume: Waterverplasing
Metaalkubus    
Reghoekige glasblok    
Prisma    

6 x ½ = (3)

2. Het jy enige verskil in volume tussen die twee metodes gevind?

_____________________________________________________________________

(1)

Indien wel, waaraan sal jy die verskil toeskryf?

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

(2)

3. Hoe sal jy die volume van 'n klip soos dié in die volgende skets bepaal?

Figure 5
Figure 5 (graphics5.png)
  • Met gebruik van 'n wetenskaplike formule:

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

(2)

  • Deur waterverplasing:

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

(2)

Assessering

Leeruitkomste 1: Die leerder is in staat om met selfvertroue op weetgierigheid oor natuurlike verskynsels te reageer, en om binne die konteks van wetenskap, tegnologie en die omgewing verbande te ondersoek en probleme op te los.

Assesseringstandaard 1.2: Dit is duidelik wanneer die leerder ondersoeke uitvoer en data versamel: organiseer en gebruik apparaat/toerusting of bronne om inligting in te win en te noteer.

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