![]() ![]() Therefore, the surface area of a prism formula is given as: Since we know the total surface area of a prism is equal to the sum of all its faces, i.e., the floor, walls, and roof of a prism. Add up the area of the two bases and the area of the lateral faces to get the total surface area of a prism.And then calculate the area of lateral faces connecting the bases.To find the total surface area of a prism, you need to calculate the area of two polygonal bases, i.e., the top face and bottom face.In a prism, the lateral faces, which are parallelograms, are perpendicular to the polygonal bases. A prism is named according to the shape of the polygonal bases. To recall, a prism is a 3-dimensional polyhedron with two parallel and congruent bases, which are connected by lateral faces. In this article, you will learn how to find the total surface area of a prism by using the surface area of a prism formula. ![]() The total surface area of a prism is the sum of areas of its lateral faces and its two bases. This prism having a total of 24 edges, 10 faces and 16 vertices.Surface Area of a Prism – Explanation & Examples Volume of the hexagonal prism Octagonal prismĪ Prism having two octagonal base surfaces are parallel to each other and ten rectangular surfaces are inclined to each other then it is called Octagonal prism. Volume of the hexagonal prism = 3 x base length x apothem length x height = 3 abh = 6 x (base length x apothem length ) + 6 x (base length x height) The total surface area of a hexagonal prism formula = 2 (area of hexagon base ) + 6 ( Area of rectangle face) Volume of pentagonal prism = Hexagonal Prism FormulasĪ Prism having two hexagonal base surfaces are parallel to each other and six rectangular surfaces are inclined to each other then it is called Hexagonal prism. Surface Area of pentagonal prism = (5ab + 5ah) Volume of Rectangular Prism = Bh = lbh Pentagonal Prism FormulasĪ Prism having two pentagonal base surfaces are parallel to each other and five rectangular surfaces are inclined to each other then it is called pentagonal prism.Ī = Base or side length of pentagonal prismįormula of pentagonal prism surface area = 5 x (apothem length x base length) + 5 x (base length x height) Volume of a rectangular prism = Base area x height = base width x base length x height Total Surface area of Rectangular Prism = 2B + Ph = 2 ( lb + bh + hl) Lateral surface area of the Rectangular Prism = Ph = 2h ( l + b) Total surface area of a rectangular prism = (base width x height) + (height x base length) + 2 x (base length x base width) The volume of a triangular prism = Area of base triangular prism × heightĪ & c = sides of the triangular base Rectangular Prism FormulasĪ Prism having two rectangular bases are parallel to each other and its ends are joining with four rectangular faces then it is called as a rectangular prism. Total Surface area of triangular prism = 2B + Pl = (2 x Triangle area) + Total surface area of a triangular prism formula = ( 2 × Triangular Base Area) + (Triangular Base Perimeter × Length) = (Apothem length x base length) + 3 (base length x height) Lateral surface area of the triangular prism = Perimeter of triangle x l = (a + b + c) l Here we are discussing about prism formulas for right prim Triangular Prism formulasĪ Prism having two parallel triangular surfaces, one rectangular base and two rectangular surfaces are inclined to each other then is is called triangular prism. i.e A prism is said to be polygonal if its two ends are polygons Prism can be classified into different types according to their base shape.Ī prism is said to be triangular if its two ends are triangles it is called rectangular if its ends are rectangles and so on. Volume of right prism = Area of the base ( B) x height ( h) Total surface area of the right prism = Lateral surface area of the right prism + The area of the two plane ends Lateral surface area of the right prism = Perimeter of base (P) x height (h) If the side-edges of a prism are not perpendicular to its ends then it is called as an Oblique prism. The side-edges of a right prism are perpendicular to its base or ends. The flat polished surfaces are refract light. According to this view a prism is defined as the transparent optical element with polished into geometrical and optically significant shapes of lateral faces join the two polygonal bases. The lateral faces are mostly rectangular. Its dimensions are defined by dimensions of the polygon at its ends and its height. The prism two faces is called the ends and other faces are called the lateral faces or side faces. Prism can be also defined as a polyhedron with two polygonal bases parallel to each other Formulas of a Prism – Surface Area and Volume What is PrismĪ prism mathematically defined as, It is a solid three dimensional object which can have any polygon at both its ends. ![]()
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