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.
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
The aim of the project is to see which factors affect the size of a
"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.
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.
- Suface Area: if you are to change the surface area it is going to
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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.
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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.
Fractal Geometry The world of mathematics usually tends to be thought of as abstract. Complex and imaginary numbers, real numbers, logarithms, functions, some tangible and others imperceivable. But these abstract numbers, simply symbols that conjure an image, a quantity, in our mind, and complex equations, take on a new meaning with fractals - a concrete one. Fractals go from being very simple equations on a piece of paper to colorful, extraordinary images, and most of all, offer an explanation to things. The importance of fractal geometry is that it provides an answer, a comprehension, to nature, the world, and the universe.
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……
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