Therefore, the surface area of the cylinder can be expressed as a summation of areas of two circles and a rectangle. The bases of a right circular cylinder are circles. A cylinder is bounded by two parallel planes or bases and by a surface generated by revolving a rectangle about one of its sides. Let us consider a right circular cylinder. Since all the sides of a cube are squares with equal base sizes, we can express the surface area of a cube as 6 x (Area of a face of the cube (which is a square)). Therefore, its surface area will be the sum of the areas of all six surfaces. We can use the basic area formulas to generate area of a polyhedron.įor example, a cube has six faces. Therefore, the surface area of a polyhedron is the summation of areas of its faces. Cuboids, prisms, pyramids, cone and tetrahedrons are few examples for polyhedrons. A polyhedron is a solid bounded by flat polygonal faces. Simply, surface area is the area of a given surface of a solid. There are several well-known formulas to calculate the areas of basic plane figures. Therefore, it is the amount of the surface enclosed within its bounding lines. The area of a plane figure is a measure of the surface covered by a given shape. A plane figure is a two-dimensional shape, which is bounded by lines called sides. Area is an expression of a size of a plane figure. It is most likely that the term ‘area’ comes to our mind, when we talk about plane geometry, which is also known as Euclidean geometry. In Euclidean geometry, we talk about properties of two-dimensional figures, or in other words plane figures, such as rectangles, triangles and circles. It helps us understand and classify spaces. Geometry is a main branch of mathematics where we learn about shapes, size and properties of figures.
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