Olwethu intends opening a coffee shop - NSC Mathematical Literacy - Question 3 - 2018 - Paper 1
Question 3
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
Worked Solution & Example Answer:Olwethu intends opening a coffee shop - NSC Mathematical Literacy - Question 3 - 2018 - Paper 1
Step 1
Calculate the number of pallets needed to produce 12 tables.
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Answer
To find the number of pallets needed, we first note that each table requires 2 pallets. Therefore, for 12 tables:
Number of pallets = 12 tables × 2 pallets/table = 24 pallets.
Step 2
Calculate the total height of the table, excluding the glass top, if the leg, including the wheel, is 200 mm.
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Answer
The total height of the table is the sum of the height of the pallet and the height of the leg. Given:
Height of pallet = 145 mm
Height of leg (including wheel) = 200 mm
Total height = 145 mm + 200 mm = 345 mm.
Step 3
Calculate the area (in mm²) of the glass top.
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The area of the glass top can be calculated using the formula: Area = length × width.
Given length = 1 200 mm and width = 1 050 mm,
Area = 1 200 mm × 1 050 mm = 1 260 000 mm².
Step 4
Calculate the total length (in mm) of rubber required for this purpose.
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Answer
To find the perimeter of the glass top to determine the length of rubber required:
Perimeter = 2 × (length + width) = 2 × (1 200 mm + 1 050 mm) = 2 × 2 250 mm = 4 500 mm.