The volume of a prism is the product of the area of the base and height of the prism. The volume of a prism is defined as the total amount of space or vacuum a prism occupies. Surface area of octagonal prism = 4a 2 (1 + √2) + 8aH 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 Prisms = (2 × Base Area) + (Base perimeter × height) See the table below to understand this concept behind the surface area of various prisms: Shape The bases of different types of prisms are different so are the formulas to determine the surface area of the prism. There are seven types of prisms we read above based on the shape of the bases. 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 of a prism is the sum of the areas of all its lateral faces whereas the total surface area of a prism is the sum of its lateral area and area of its bases. There are two types of areas we read about, first, the lateral surface area of the prism, and second, the total surface area of the prism. Let us learn these two in the case of prisms. The two formulas are the area of the shape and volume of the shape. There are two basic formulas we read in geometry about all the respective 3-dimensional shapes.
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