NCV 2 Mathematical Literacy Hands-On Training Case Studies Module 3

Mathematical Literacy 2
Module 3

Answers to Case Studies

Mathematical Literacy Future Managers 1

Case Study: Sun Couriers
• Measure and note the length, width, and height
of the box.
• What is the surface size of the biggest side of
the box?
• And the smallest size of the box?
• Calculate and note the surface area of the net
of the box in cm2
• Name the geometrical shape of the different
sides of the box
• Calculate the perimeter of the base of the box


• Calculate the volume of the box in cm3
• If UTI charges R12/kg to courier your box to
another town, how much will they charge you
if your box weighs 6kg
• Will they charge you for the actual weight or
the geometric weight?
• Why is the answer different between the
different groups in the class?


11. 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?


1. If the decide to charge you for this wasted
space, how will they calculate it and what
would the price be?


Case Study: Etosha
Etosha 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


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.


Table
The table provides the distances between some of
the major towns in Namibia, but also between
the rest camps.


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:


ISSUING AIRLINE: SOUTH AFRICAN AIRWAYS
TICKET NUMBER: ETKT 083 2105515641
BOOKING REF: ZPZ9UN, AIRLINE SA/ZPZ9UN

FROM / TO
CAPE TOWN INTER 21APR 1035
WINDHOEK INTER ARRIVAL TIME: 1135

WINDHOEK INT 06MAY 1440
WINDHOEK INTER ARRIVAL TIME: 1740


1. What is the distance between:
• Johannesburg and Windhoek 1434 km
• Namutoni and Okaukuejo 123 km
• Cape Town and Halali 1998 km


1. If your average speed is 100km/h, how long
will it take you to drive from:
• Johannesburg to Windhoek 14 hr 20
• Namutoni and Okaukuejo 1 hr 14
• Windhoek and Namutoni 5 hr 20


1. What is the distance across the park?
19 mm

4. Using the scale of 1:20 000 000, what is the
real distance between East and West?
380km


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.


Case Study: Microwave
The 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


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


1. Compile a cutting list for the owner by using the
diagram below. The front of the cupboard is
open.
No length breadth
Sides 2 550 mm 450 mm

Top / bottom 2 560 mm 550 mm

Shelves 2 560 mm 550 mm

Rear

Doors


1. 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.

?????


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.


NCV 2 Mathematical Literacy Hands-On Training Case Studies Module 3

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