What was I Trying to Find Out?
In this unit, we were trying to find out how do we figure out the area of various objects which is formed with different using triangles. The reason is that I wanted to justify our claim to everybody that triangles can form every polygons in various ways and we can use it in our future lives to construct new mathematical, scientific and technological ways to make our world a better place. For example, engineer new cities and etc.
What did I Discover?
From this unit, I have discovered that the area of the hexagon table down below has a volume up to 38,400.186 cm3 because if you split it up to simple shapes, there would be 2 triangles and 1 square. That means if you add the size of them all together, it would form the table again. Therefore, if you find the volume of those shapes, the 2 triangle's volume would be 139.8 cm(Length) x 39.6 cm(Width) ÷ 2 x 2 = 12,732.984 cm3 and the rectangle's volume would be 139.8 cm(Length) x 80 cm(Width) = 25,732.2 cm3. Then, if you add it all together, the volume would be 12,732.984 + 25,732.2 = 38,465.184 cm3. However, just like in the picture, there is a tiny hole on the table, so really the volume of the hexagon table is 38,465.184 - 3 x 3 x 3.14 x 2.3(Circle's Volume) = 38,400.186 cm3.
What Surprised me?
What surprised me was that all triangles can form all polygons because they are so dimensional that they can fit in even the most irregular and awkward polygon which is all around the world without leaving any gaps. For example, all polygons can be split into simple shapes such as rectangles and all rectangles can be split up to 2 or 3 triangles. Therefore, we can say that triangles form every polygons by being spliced into rectangles and it spliced into other unusual shapes.
What was I good at?
I think I was good at measuring and calculating the equation correctly and independently because during that time, my partner Tom was away to help his friend for his project. Therefore, I needed to do the hard work all by myself. However, even though there was nobody there to assist me, I still didn't gave up and measured, calculated the answer over and over again until I found the resolution.
What do I still need to Practice?
However, I think I still need to practice how to measure things by exactly knowing its formation because when I was measuring the hexagon table, I didn't notice there was a little hole on the middle which can also take up space. Therefore, I almost got the wrong answer by not subtracting the space the little circle can take out of the table.
What do I want to know now?
Now, I want to know how much triangles can fit in dozens of circles because circles are not polygons and it has only curved lines, so it is impossible to draw a diagram of how much triangles would fit in. However, they both have an area, volume and capacity, so if you divide the volume of the circles with the volume of the triangles, I think there would be an unusual result.