# Case Study: The Great Golf Ball Dilemma

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The Great Golf Ball Dilemma- Will
*All calculations are rounded*

This maths investigation explored the best way to package six golf balls and to recommend to the manager of a sports manufacturing company Supreme Sports. The task was to test two designs, a cylindrical box and a rectangular box, under the criteria of wasting minimal space and also the least cost the company. This testing would occur by using the knowledge of surface area and volume using formulas to find out the mathematical answer. The overall most efficient design will be recommended to the manager of the company for production.

Engage:

If the diameter of a golf ball is 4.27cm then the radius is half of that which means it is 2.135cm. Using the formula to calculate the volume of a sphere one golf ball is 40.76 cm3. To calculate the volume of six golf balls this number
The surface area of the cylindrical box is 443.65cm2. That means to calculate the total cost to produce the box these two numbers were multiplied together, this is because 443.65 cm2 of the material was needed. The total cost to produce a box was \$2.22.

Cost of box: 443.65×0.005 =\$2.22

Rectangular Box
The cost of the cardboard material again was \$0.005 per cm2. The surface area of the rectangular box was 519.6cm2. To calculate the total cost to produce the box these two numbers were multiplied together, this is because 519.6 cm2 of the material was needed. The total cost to produce the box was \$2.60

Cost of box: 519.6×0.005 =\$2.60

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