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 required:
Each table consists of 2 pallets.
Number of tables = 12
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 high.
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Answer
The total height of the table can be calculated by adding the height of the pallet and the height of the leg.
Height of pallet = 145 mm
Height of the leg (including wheel) = 200 mm
Total height = Height of pallet + Height of leg
= 145 mm + 200 mm = 345 mm.
Step 3
Calculate the area (in mm²) of the glass top.
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To find the area of the glass top, use the formula: Area = length × width.
Length = 1200 mm
Width = 1050 mm
Area = 1200 mm × 1050 mm = 1260000 mm².
Step 4
Calculate the total length (in mm) of rubber required for this purpose.
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Answer
To calculate the total length of rubber required to cover the edge of the glass top, we first need to find the perimeter:
Perimeter = 2 × (Length + Width)
= 2 × (1200 mm + 1050 mm) = 2 × 2250 mm = 4500 mm.
Thus, the total length of rubber required is 4500 mm.