INTRODUCTION
In the present day world, many schools and educational institutes burden students with the memorisation of multiple surface area formulas for a particular prism. It is vital to have the understanding of how various surface area formulas make geometry appear a hard stream of mathematics. The aim of this directed investigation is to discuss the topic question “Is it possible to develop a general formula for the surface area of any prism” and furthermore to develop a formula that can be used as a shortcut for the surface area of any prism calculations. This investigation will look into finding the relationship between the surface area of different prisms by using a whole range of formula and patterns.
METHOD
There were many measurement formulas taken under considerations within the investigation in order to study the given topic question. These formulas played a significant role in solving the topic question and the main ones considered were –
A = L*W where P = where –
A is the Area of the shape
L is how long the shape is (Length)
W is how wide the shape is (Width)
The area formula was mainly put into practice to calculate the area of the middle sections of the prism and the area of the regular polygon bases, whereas the perimeter formula was put into practice to calculate the perimeter of the regular polygon bases. The investigation was divided into 3 main parts. The first two parts primarily considered solving the topic question and developing the shortcut formula, whereas the third part considered testing the findings from part 1 & 2 on special prisms called ‘Platonic Solids’.
PART 1
In order to start off the investigation the first step taken into consideration was to sketch the shapes and nets of 4 prominent ...
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... everyone is capable enough to remember the surface area formulas for different prisms such as rectangular prism and hexagonal prism. It is essential that this formula is taught in all the educational institutes as a relief for students because remembering a whole series of formulas prevent students from doing maths, consequently, it makes geometry appear a hard stream of mathematics.
This investigation was mainly solved through observing a series of patterns and shapes. The most common formula used was A = L*B. Substituting numbers was the easiest way of solving the area problems.
To understand the topic surface area better, the results could have been improved by exploring why.
CONCLUSION
The use of various mathematical applications within the investigation strongly determine that it is possible to develop a general formula for the surface area of any prism.
... study for the overall concept they appear rather as abstract patterns. The shadows of the figures were very carefully modeled. The light- dark contrasts of the shadows make them seem actually real. The spatial quality is only established through the relations between the sizes of the objects. The painting is not based on a geometrical, box like space. The perspective centre is on the right, despite the fact that the composition is laid in rows parallel to the picture frame. At the same time a paradoxical foreshortening from right to left is evident. The girl fishing with the orange dress and her mother are on the same level, that is, actually at equal distance. In its spatial contruction, the painting is also a successful construction, the groups of people sitting in the shade, and who should really be seen from above, are all shown directly from the side. The ideal eye level would actually be on different horizontal lines; first at head height of the standing figures, then of those seated. Seurats methods of combing observations which he collected over two years, corresponds, in its self invented techniques, to a modern lifelike painting rather than an academic history painting.
Used a Vernier Calipers and measured the diameter of the vertical shaft and record this value.
The construction phase would not be possible without the knowledge of basic geometry. Points, lines, measurements and angles are often used to lay out the building in accordance to the architect drawings.
Areas of the The following shapes were investigated: square, rectangle, kite. parallelogram, equilateral triangle, scalene triangle, isosceles. triangle, right-angled triangle, rhombus, pentagon, hexagon, heptagon. and the octagon and the sand. Results The results of the analysis are shown in Table 1 and Fig.
If I am to use a square of side length 10cm, then I can calculate the
Investigating How the Size of a Shadow Depends on the Angle at Which the Light Hits the Object
"The Foundations of Geometry: From Thales to Euclid." Science and Its Times. Ed. Neil Schlager and Josh Lauer. Vol. 1. Detroit: Gale, 2001. Gale Power Search. Web. 20 Dec. 2013.
Named after the Polish mathematician, Waclaw Sierpinski, the Sierpinski Triangle has been the topic of much study since Sierpinski first discovered it in the early twentieth century. Although it appears simple, the Sierpinski Triangle is actually a complex and intriguing fractal. Fractals have been studied since 1905, when the Mandelbrot Set was discovered, and since then have been used in many ways. One important aspect of fractals is their self-similarity, the idea that if you zoom in on any patch of the fractal, you will see an image that is similar to the original. Because of this, fractals are infinitely detailed and have many interesting properties. Fractals also have a practical use: they can be used to measure the length of coastlines. Because fractals are broken into infinitely small, similar pieces, they prove useful when measuring the length of irregularly shaped objects. Fractals also make beautiful art.
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- Suface Area: if you are to change the surface area it is going to
A rectangle is a very common shape. There are rectangles everywhere, and some of the dimensions of these rectangles are more impressive to look at then others. The reason for this, is that the rectangles that are pleasing to look at, are in the golden ratio. The Golden Ratio is one of the most mysterious and magnificent numbers/ratios in all of math. The Golden Ratio appears almost everywhere you look, yet not everyone has ever heard about it. The Golden Ratio is a special number that is equal to 1.618. An American mathematician named Mark Barr, presented the ratio using the Greek symbol “Φ”. It has been discovered in many places, such as art, architectures, humans, and plants. The Golden Ratio, also known as Phi, was used by ancient mathematicians in Egypt, about 3 thousand years ago. It is extraordinary that one simple ratio has affected and designed most of the world. In math, the golden ratio is when two quantities ratio is same as the ratio of their sum to the larger of the two quantities. The Golden Ratio is also know as the Golden Rectangle. In a Golden Rectangle, you can take out a square and then a smaller version of the same rectangle will remain. You can continue doing this, and a spiral will eventually appear. The Golden Rectangle is a very important and unique shape in math. Ancient artists, mathematicians, and architects thought that this ratio was the most pleasing ratio to look at. In the designing of buildings, sculptures or paintings, artists would make sure they used this ratio. There are so many components and interesting things about the Golden Ratio, and in the following essay it will cover the occurrences of the ratio in the world, the relationships, applications, and the construction of the ratio. (add ...
In the case above, the value of D is an integer - 1, 2, or 3 - relying on the dimension of the geometry. This association holds for all Euclidean shapes glimpsing at the image of the first step in constructing the Sierpinski Triangle, we can see that if the linear dimension of the original triangle ( L) is doubled, then the area of entire fractal (blue triangles) increases by a factor of three ( S).
The most significant feature of an investigative study is the precision and simplicity of the investigative problem. For a brief assertion, it definitely has a great deal of influence on the study. The statement of the problem is the central position of the study. The problem statement should affirm what will be studied, whether the study will be completed by means of experimental or non-experimental analysis, and what the reason and function of the results will bring. As an element of the opening, profound problem declarations satisfies the query of why the study should to be performed. The reason of this essay is to discuss the features of an investigative problem; in addition, the essay will center on what constitutes a researchable problem; the components of a well formed Statement of Research Problem; and, what constitutes a reasonable theoretical framework for the need of a study.
The criminal investigation process is able to achieve justice to a great to a great extent. They are effective in achieving justice, as they are able to balance the rights of the victim, offenders and society and also provide fair and just outcomes. For these reasons, the criminal investigation process is largely able to achieve justice.
The Golden Rectangle is a unique and important shape in mathematics. The Golden Rectangle appears in nature, music, and is often used in art and architecture. Some thing special about the golden rectangle is that the length to the width equals approximately 1.618……