formula of surface area of triangular prism

Formula of surface area of triangular prism how to#

The total cost of painting the prism = TSA x cost of painting Surface area of a rectangular prism = 2h (l +b) If the painting cost is $50 per square inch, find the total cost of painting all faces of the prism.įirst, calculate the total surface area of the prism

Thus, the total surface area of the pentagonal prism is 1885 cm 2Ī rectangular prism of dimensions, length = 7 in, width = 5 in and height = 3 in is to be painted. The formula for the total surface area of a pentagonal prism is given by Find the total surface area of the pentagonal prism. The apothem length, base length, and height of a pentagonal prism are 10 cm. Hence, the total surface area of the prism is 343.44 cm 2. Thus, the apothem length of the prism is 6.93 cm The base is an equilateral triangle of side 8 cm.īy Pythagorean theorem, the apothem length, a of the prism is calculated as: Therefore, the total surface area of the triangular prism is 240 cm 2.įind the total surface area of a prism whose base is an equilateral triangle of side 8 cm and height of the prism is 12 cm. Now substitute the base area, height, and perimeter in the formula. Since the base is a triangle, then the base area, B =1/2 ba TSA = 2 x area of the base + perimeter of the base x Height The other two sides of the triangular base are 7 cm each.įind the total surface area of the triangular prism. The dimensions of a triangular prism are given as follows: Let’s solve a few example problems involving the surface area of different types of prisms. Note: The formula to find the base area (B) of a prism depends on the base’s shape. Where TSA = Total surface area of a prism Total surface area of a prism = 2 x area of the base + perimeter of the base x Height 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.

Formula of surface area of triangular prism how to#

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. Surface Area of a Prism – Explanation & Examples