Mathematical Literacy 2 Module 3 Answers to Case Studies Mathematical Literacy 1 Future Managers
May 10, 2015
Mathematical Literacy 2Module 3
Answers to Case Studies
Mathematical Literacy 1Future Managers
Case Study: Sun Couriers1. Measure and note the length, width, and height
of the box.
2. What is the surface size of the biggest side of the box?
3. And the smallest size of the box?
4. Calculate and note the surface area of the net of the box in cm2
5. Name the geometrical shape of the different sides of the box
6. Calculate the perimeter of the base of the box
Mathematical Literacy 2Future Managers
Case Study: Sun Couriers7. Calculate the volume of the box in cm3
8. If UTI charges R12/kg to courier your box to another town, how much will they charge you if your box weighs 6kg
9. Will they charge you for the actual weight or the geometric weight?
10. Why is the answer different between the different groups in the class?
Mathematical Literacy 3Future Managers
Case Study: Sun Couriers11. Instead of sending a box, you want to send a 20
litre can of chemicals with the following dimensions:
Radius - cm
Height - cm
How much will the couriers charge using the same rate as above? Will there be any wasted space?
Mathematical Literacy 4Future Managers
12. If the decide to charge you for this wasted space, how will they calculate it and what would the price be?
Mathematical Literacy 5Future Managers
Case Study: EtoshaEtosha National Park is one of Southern Africa’s
most important game reserves. Located in northern Namibia, Etosha Game Park was declared a national park in 1907 and covers an area of 22 270 square km. It is home to 114 mammal species and, surprisingly one specifies of fish.
It is a major tourist attraction and tourists in Etosha can stay in three camps – Namutoni, Halali and Okuanuejo
Mathematical Literacy 6Future Managers
Visitors should note that the park is only open from sunrise to sunset. Outside of these hours, visitors either have to be in one of the camps, or completely outside the park – or sleep in their cars, surrounded by sharp-toothed prowlers and the sounds of the bush at night!
Visiting Etosha will require some careful planning since it is quite a distance from any of the major cities of South Africa.
Mathematical Literacy 7Future Managers
Mathematical Literacy 8Future Managers
Table
The table provides the distances between some of the major towns in Namibia, but also between the rest camps.
Mathematical Literacy 9Future Managers
Mathematical Literacy 10Future Managers
There are two ways to get to the Etosha from Johannesburg. You can drive all the way, or you can fly to Windhoek and drive from there. On enquiring about flying times to Namibia, South African Airways sends the following information:
Mathematical Literacy 11Future Managers
ISSUING AIRLINE: SOUTH AFRICAN AIRWAYSTICKET NUMBER: ETKT 083 2105515641BOOKING REF: ZPZ9UN, AIRLINE SA/ZPZ9UN
FROM / TO
CAPE TOWN INTER 21APR 1035WINDHOEK INTER ARRIVAL TIME: 1135
WINDHOEK INT 06MAY 1440WINDHOEK INTER ARRIVAL TIME: 1740
Mathematical Literacy 12Future Managers
1. What is the distance between:
• Johannesburg and Windhoek
• Namutoni and Okaukuejo
• Cape Town and Halali
1434 km
123 km
1998 km
Mathematical Literacy 13Future Managers
2. If your average speed is 100km/h, how long will it take you to drive from:
• Johannesburg to Windhoek
• Namutoni and Okaukuejo
• Windhoek and Namutoni
14 hr 20
1 hr 145 hr 20
Mathematical Literacy 14Future Managers
4. What is the distance across the park?
5. Using the scale of 1:20 000 000, what is the real distance between East and West?
19 mm
380km
Mathematical Literacy 15Future Managers
6.A flight from Cape Town to Windhoek takes two hours. A friend in Cape Town decides to fly instead of driving. SAA’s schedule of flights indicates that the aircraft leaves Cape Town at 10:35 and arrives in Windhoek at 11:35, exactly and hour later. Discuss the discrepancy.
Windhoek lies one time zone to the West of South Africa. Therefore, when travelling from Cape Town to Windhoek, you gain one hour, hence the discrepancy.
Mathematical Literacy 16Future Managers
Case Study: MicrowaveThe owner of a house would like to build a holding cupboard for his new microwave oven. He found a drawing of the cupboard that he has in mind in the instructor’s manual of the microwave oven and decided to build a similar cupboard. He establishes that the scale used on this drawing is 1:25
Mathematical Literacy 17Future Managers
The local hardware store can cut the “super wood” board according to his specifications, but what they need is called a “cutting list”. This is a list of all the different sizes and the number of pieces of melamine required to build the cupboard. If there is more than one piece of a similar size, it is indicated. For example, if two similar pieces of one metre long by 200mm wide board are needed, then it is written as follows:
• 2 – 1000mm x 200mm
Mathematical Literacy 18Future Managers
Mathematical Literacy 19Future Managers
1. Compile a cutting list for the owner by using the diagram below. The front of the cupboard is open.
No length breadth
Sides
Top / bottom
Shelves
Rear
Doors
2 560 mm 550 mm
2 560 mm 550 mm
2 550 mm 450 mm
Mathematical Literacy 20Future Managers
2. Estimate the number of wooden screws that the owner will need to assemble this cupboard. A rule of thumb is to space the screws 200mm apart.
?????
Mathematical Literacy 21Future Managers
3.From the small sketch, you will notice that the “back” of the cupboard needs to be open, at least in the space where the microwave oven fits. What would be the reason for this?
The back of the microwave requires ventilation, to stop the microwave from overheating.
Mathematical Literacy 22Future Managers