![]() Step 2: Substitute the dimensions in the surface area of prism formula (2 × Base Area) + (Base perimeter × height).Step 1: Note down the given dimensions of the prism. ![]() The steps to determine the surface area of the prism are: How to Calculate the Surface Area of Prism? On substituting the respective values in the formula we have, the surface area of a triangular prism = bh + (a + b + c)H =. Here the base is triangular so the base area A = ½ bh, and the base perimeter = the sum of three sides of the triangle let's say (a + b + c). Therefore, according to the surface area of the prism formula (2 × Base Area) + (Base perimeter × height). The given prism has two triangular bases. Let us calculate the surface area of the triangular prism given below with a base "b", the height of prism "h", and length "L". Surface area of octagonal prism = 4a 2 (1 + √2) + 8aHĬheck out types of prisms to get more details about various prisms. Surface area of regular hexagonal prism = 6ah + 3√3a 2 Surface area of hexagonal prism = 6b(a + h) Surface area of pentagonal prism = 5ab + 5bh Surface area of trapezoidal prism = h (b + d) + l (a + b + c + d) Surface area of rectangular prism = 2(lb + bh + lh) Surface area of square prism = 2a 2 + 4ah Surface area of triangular prism = bh + (s1 + s2 + b)H Surface Area of Prism = (2 × Base Area) + (Base perimeter × height) See the table below to understand this concept behind the surface area of various prism: Shape The bases of different types of prisms are different so are the formulas to determine the surface area of the prism. Thus, the lateral surface area of prism = base perimeter × height The total surface area of a Prism = Lateral surface area of prism + area of the two bases = (2 × Base Area) + Lateral surface area or (2 × Base Area) + (Base perimeter × height). The lateral area is the area of the vertical faces, in case a prism has its bases facing up and down. Let us look at the surface area of the prism formula The total surface area of a prism is the sum of lateral surface area and area of two flat bases. ![]() To find the surface area of any kind of prism we use the general formula. Finding the surface area of a prism means calculating the total space occupied by all the faces of that respective type of prism or the sum of the areas of all faces (or surfaces) in a 3D plane. The surface area of a prism refers to the amount of total space occupied by the flat faces of the prism.
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