3.1 Liam en Amy beplan hul troue - NSC Mathematical Literacy - Question 3 - 2018 - Paper 1
Question 3
3.1 Liam en Amy beplan hul troue. Amy wil 'n vierlaag-rooifwieltroukoek hê.
Sy moet nog besluit tussen 'n silindriese of 'n rehogte koek, soos op BYLAE B getoon.
Ge... show full transcript
Worked Solution & Example Answer:3.1 Liam en Amy beplan hul troue - NSC Mathematical Literacy - Question 3 - 2018 - Paper 1
Step 1
Bepaal die totale hoogte van die silindriese koek in millimeter.
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Answer
Die totale hoogte van die silindriese koek is 720 mm. Dit kan bereken word deur die hoeke van al die lae bymekaar te tel. (15 cm + 17 cm + 19 cm + 21 cm) x 10 = 720 mm.
Step 2
Die onderste (basis-) laag van die silindriese koek het 'n radius van 14 cm.
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Step 3
Bepaal die deurseune van die onderste laag in cm.
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Die deurseune van die silinder is die deursnee, wat bereken word as: Diameter = 2 x radius = 2 x 14 cm = 28 cm.
Step 4
Bereken die volume (in cm³) van die onderste laag.
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Die volume kan bereken word met die formule: Volume = π x (radius)² x hoogte. Dus, Volume = 3,142 x (14 cm)² x 15 cm = 9,237,48 cm³.
Step 5
Definieer die term omtrek.
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Die omtrek is die totale afstand rondom 'n vorm, wat die rand of grense van die vorm insluit.
Step 6
Bereken die area (in cm²) van die bodem van die pan wat nodig is om die boonste laag van die reghoeke koek te bak.
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Die area kan bereken word met die formule: Area = lengte x breedte. Aangesien die lengte 15 cm en die breedte 12 cm is, is die area 15 cm x 12 cm = 180 cm².
Step 7
Bepaal die massa botter in kilogram.
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Answer
As 'n halwe pond botter benodig word, wat 0.5 lb is, kan ons dit omskakel na kilogram: 0.5 lb x 0.453592 = 0.226796 kg, wat ongeveer 0.23 kg is.
Step 8
Bepaal die massa van die melk in gram.
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Die hoeveelheid melk benodig is 625 ml. Aangesien 1 ml melk gelyk is aan 1 g, is die massa van die melk 625 g.
Step 9
Bepaal die temperatuur in grade Celsius.
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Answer
Om die temperatuur in Celsius te bereken, gebruik ons die formule: °C=(°F−32)×1,8. Dus, °C=(356−32)×1,8=180°C.
