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.
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