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Olwethu intends opening a coffee shop - NSC Mathematical Literacy - Question 3 - 2018 - Paper 1 Question 3
View full question Olwethu intends opening a coffee shop. She wants to use tables made with pallets similar to the one in the picture below. Each table will have two pallets attached t... show full transcript
View marking scheme Worked Solution & Example Answer:Olwethu intends opening a coffee shop - NSC Mathematical Literacy - Question 3 - 2018 - Paper 1
3.1.1 Calculate the number of pallets needed to produce 12 tables. Only available for registered users.
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To find the number of pallets required, we first need to identify how many pallets are needed per table. Since each table uses two pallets:
e x t N u m b e r o f p a l l e t s = 12 e x t t a b l e s i m e s 2 e x t p a l l e t s / t a b l e = 24 e x t p a l l e t s . ext{Number of pallets} = 12 ext{ tables} imes 2 ext{ pallets/table} = 24 ext{ pallets}. e x t N u mb ero f p a ll e t s = 12 e x t t ab l es im es 2 e x t p a ll e t s / t ab l e = 24 e x t p a ll e t s .
Thus, Olwethu will need 24 pallets to produce 12 tables.
3.1.2 Calculate the total height of the table, excluding the glass top, if the leg, including the wheel, is 200 mm high. Only available for registered users.
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The height of the table is determined by adding the height of the pallet and the height of the leg (including the wheel).
Given:
Height of pallet = 145 mm
Height of leg = 200 mm
So, the total height is:
e x t T o t a l h e i g h t = 145 e x t m m + 200 e x t m m = 345 e x t m m . ext{Total height} = 145 ext{ mm} + 200 ext{ mm} = 345 ext{ mm}. e x t T o t a l h e i g h t = 145 e x t mm + 200 e x t mm = 345 e x t mm .
Therefore, the total height of the table, excluding the glass top, is 345 mm.
3.1.3 Calculate the area (in mm²) of the glass top. Only available for registered users.
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To find the area of the glass top, we will use the formula for the area of a rectangle:
e x t A r e a = e x t l e n g t h i m e s e x t w i d t h ext{Area} = ext{length} imes ext{width} e x t A re a = e x t l e n g t h im ese x t w i d t h
Substituting the dimensions of the glass top:
Length = 1200 mm
Width = 1050 mm
Thus,
e x t A r e a = 1200 e x t m m i m e s 1050 e x t m m = 1260000 e x t m m 2 . ext{Area} = 1200 ext{ mm} imes 1050 ext{ mm} = 1260000 ext{ mm²}. e x t A re a = 1200 e x t mm im es 1050 e x t mm = 1260000 e x t m m 2 .
The area of the glass top is 1,260,000 mm².
3.1.4 Calculate the total length (in mm) of rubber required for this purpose. Only available for registered users.
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To find the total length of rubber required, we need to calculate the perimeter of the glass top:
Using the formula for perimeter:
P = 2 ( e x t l e n g t h + e x t w i d t h ) P = 2 ( ext{length} + ext{width}) P = 2 ( e x t l e n g t h + e x t w i d t h )
Substituting the dimensions:
Length = 1200 mm
Width = 1050 mm
Thus,
P = 2 ( 1200 e x t m m + 1050 e x t m m ) = 2 i m e s 2250 e x t m m = 4500 e x t m m . P = 2 (1200 ext{ mm} + 1050 ext{ mm}) = 2 imes 2250 ext{ mm} = 4500 ext{ mm}. P = 2 ( 1200 e x t mm + 1050 e x t mm ) = 2 im es 2250 e x t mm = 4500 e x t mm .
Therefore, the total length of rubber required is 4500 mm.
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