A Guide to Writing Mathematics

This is a math class! Why are we writing?There is a good chance that you have never written a paper in a math class before. So you might be wondering why writing is required in your math class now.The Greek word mathemas, from which we derive the word mathematics, embodies thenotions of knowledge, cognition, understanding, and perception. In the end, mathematics is about ideas. In math classes at the university level, the ideas and concepts encountered are more complex and sophisticated. The mathematics learned in college will include concepts which cannot be expressed using just equations and formulas. Putting mathemas on paper will require writing sentences and paragraphs in addition to the equations and formulas.Mathematicians actually spend a great deal of time writing. If a mathematician...

Surface Area and Volume of square Pyramid and Triangular Prism

Surface Area and Volume of a square PyramidA pyramid is any three-dimensional structure where the upper surfaces are triangular and converge on one point. The base of pyramids are usually quadrilateral or trilateral (but generally may be of any polygon shape), meaning that a pyramid usually has three or four sides. The measurements of these triangles uniformly classify the shape as isosceles and sometimes equilateral.Surface Area and Volume of a Isosceles Triangular PrismThe volume of a prism is the product of the [area] of the base and the distance between the two base faces, or the height (in the case of a non-right prism, note that this means...

Surface Area and Volume

SphereA sphere is a perfectly symmetrical geometrical object. In non-mathematical usage, the term is used to refer either to a round ball or to its two-dimensional surface. In mathematics, a sphere is the set of all points in three-dimensional space (R3) which are at distance r from a fixed point of that space, where r is a positive real number called the radius of the sphere. The fixed point is called the center or centre, and is not part of the sphere itself. The special case of r = 1 is called a unit sphere.Surface Area and Volume of a ConeA cone is a three-dimensional geometric shape bounded by a simply connected region of a plane (the base)...

 
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