Introduction
An assignment was given to us and we need to work in a
group of 4-6 people. This assignment required us to construct the object,
determine the total surface area of the object and calculate its volume. Thus,
for the e-portfolio, we are to discuss three mathematical theories that we used
in order to complete this assignment.
Group
Members:
Chung
Hui Ping
Ho
Yi Wei
Wong
Yii Shin
Chin
Jen Pang
Sia
Yu Rong
Seow
Wen Yang
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This is the question
paper given to us by the lecturer.
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The
model we constructed
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The first mathematical
theory applied is trigonometry.
This formula is only
applied for right angle triangle.
I had applied tan x = Opposite/Adjacent to find the
angle of the triangle when its length of opposite and adjacent sides are given.
The second theory I applied is
Area of a segment.
Refer to the picture
above, area of a segment is the area confined by circumference and chord.
Thus, to find the
shaded area of a segment, I have applied the formula of ½ r2 (θ – sin θ).
Lastly, I have calculated the volume of pyramid
by using the formula below.
Volume of pyramid = 1/3 x Base Area x Height
By using this formula, we are able to calculate the
volume taken out from the cylinder.
Below are the formula sheets of our assignment :-
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| Page 1 |
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| Page 2 |
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| Page 3 |
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| Page 4 |
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| Page 5 |
Reflection
As a
conclusion, this assignment was challenging at first as we do not have the idea
on how to construct the model and we were not sure which formula should be use
in order to solve the problem. However, me and my team mates gathered and
discussed in a group and we finally solved it. It was a great experience for me
and I find it interesting though. At the end of this assignment, I realised
that mathematic is not an easy subject and needs to do a lot of exercises for
improvement. Besides, I also gained mathematical knowledge and know what
formula should be use under different circumference.
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