Mathematics

Mathematics.

During one of our Mathematics class, we had been given a class assignment by our lecturer, Ms. Ann. The task required us to construct the object, do some calculations for the object's total surface area and calculate the volume of the object. My group members for the class hand outs are Tan Ming Long, Joshua Ting, Cheah Hoong Fei, See Cul Wei, Ong Kok Sheng and Phang June Ee. The diagram below shows the task given by our lecturer, Ms. Ann.

 

The first formula we had use to count the object are the Length Of Arc. The arc length is the measure of the distance along the curved line making up the arc. It is longer than the straight line distance between its endpoints (which would be a chord). We had apply this formula when we are counting the arc length of the surface of the two combined cylinders.

Next, we had use the Pythagoras theorem to count the right-angle triangle side of the object. In a right angled triangle : the square of the hypotenuse is equal to
the sum of the squares of the other two sides. We had apply this formula to find the slanted height of the triangle hidden in the object.

Lastly, another theory we had use to do the calculations of volume of the object are Volume of Pyramid. It’s definition is the number of cubic units that will exactly fill a pyramid. We had apply this theory to find the volume of the pyramid in the object.

              

 

Finally, this is the real object that we have constructed after finishing our calculations. At first, I had struggled on this task and it looks very challenging. However, after I have looked through the notes given by Ms. Ann, I found out that it is just sorting each of the components in the object and apply the formula. As it is group work, it had become easier. Thank you to all my group members for their effort. Last but not least, after completing this assignment, it had become easier to learn something about the topic on areas and volume.

This is the calculations done by my group.