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Mathematics

Identify the relevant elements which will be considered while buying and designing jewelry.

INSTRUCTIONS TO CANDIDATES
ANSWER ALL QUESTIONS

Emma is searching for a unique jewellery design for her birthday present.She came across the following necklace on the internet. She finds the following website designing beautiful ornaments for girls. After searching a lot, she got attracted to the following design. She wants to calculate the budget and compare whether it is cheaper to get it online or get the same design copied by the local jeweller at a cheaper rate.

Following details are given on the site: Certificate available.

3D printed jewels in silver are made with a complex five-step process. First, the model is 3d printed in wax, then put in a container where liquid plaster is poured in around it. Once the plaster sets, the wax is melted out in a furnace and the remaining plaster becomes the mold.

Molten metal is poured into this mold and set to harden. The plaster is broken away, revealing the object then tumbled, cleaned, hand polished or plated. The pendant comes with a 20 inches black lanyard (Silver strap coated in black colour ).

The pendant itself is 1.2inches x 1.2inches x 0.3 inches:

That means there are : Total 5 circles The largest circle with diameter of 1.2 inch 1 pair of circles are identical with each having a diameter of 0.6 inch 1 other pair of circles are identical with each having a diameter of 0.9 inch. There are 12 small circles each with 0.3 inch diameter approximately.

Sphere ball with radius of 0.12 inch Information for making the jewellery from a local jeweller: The cost will vary as per the length of the silver strips used in the design with respect to weight.

Rate : $0.67 per gram (including making charges) for the design of a circle in silver

Rate : $20 per gram for the ball inside the pendant.

Rate : $0.25 per inch for the lanyard string. Other information: 1 inch ≅ 4.2 gram 1 cubic inch ≅ 16.38 grams Task: Compare the cost and make rational decisions keeping other factors in mind. Identify the relevant elements which will be considered while buying and designing jewelry. Select and apply the mathematical strategy to find out the best option for buying the pendant. Justify the degree of accuracy of the cost calculated. State and Justify your decision in the context of the authentic real-life situation.

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