Diagnial of a rectangular prism formula12/16/2023 ![]() ![]() Hence, the height and total surface area of the given rectangular prism are 13.5 cm and 722 sq. The total surface area of the rectangular prism = 2 (lw + wh + lh) The lateral surface area of the prism = Base perimeter × height The lateral surface area of the prism = 540 sq. The width of the rectangular base (w) = 7 cm The length of the rectangular base (l) = 13 cm cm and the length and breadth of the base are 13 cm and 7 cm, respectively. Problem 4: Determine the height of the rectangular prism and the total area of a rectangular prism if its lateral surface area is 540 sq. The total surface area of the pentagonal prism = 5ab + 5bh The total surface area of the pentagonal prism = 100 square units Problem 3: Determine the base length of a pentagonal prism if its total area is 100 square units and its height and apothem length are 8 units and 5 units, respectively. Hence, the total surface area of the given prism is 240 sq. The total surface area of a square prism = 2a 2 + 4ah The length of the side of the square base (a) = 4 cm The height of the square prism (h) = 13 cm Problem 2: Find the total surface area of a square prism if the height of the prism and the length of the side of the square base are 13 cm and 4 cm, respectively. Hence, the height of the given prism is 10.34 units. The total surface area of the prism = (2 × Base Area) + (Base perimeter × height) The total surface area of the prism = 320 square units Problem 1: What is the height of a prism whose base area is 36 square units, its base perimeter is 24 units, and its total surface area is 320 square units? H is height of hexagonal base Surface Area of Prism Formula Shape ![]() The area occupied by a prism’s faces, excluding the two parallel faces (bases of a prism), is referred to as its lateral surface area.īy substituting all the values in the general formula we get The total surface area of the hexagonal prism = square units A prism has two kinds of surface areas, namely the lateral surface area and the total surface area. To determine a prism’s surface area, we must calculate the areas of each of its faces, then add the resulting areas. The surface area of a prism is referred to as the total area enclosed by all its faces. Also, there are different types of prisms based on the shape of the base of a prism, such as Based on the alignment of the bases, there are two kinds of prisms, namely, the right prism and an oblique prism. There are two kinds of prisms based on the type of the polygonal base, namely a regular prism and an irregular prism. The other faces of a prism are parallelograms or rectangles. The identical polygons can be triangles, squares, rectangles, pentagons, or any other n-sided polygon and are called the bases of the prism. In mathematics, a prism is an essential member of the polyhedron family and is defined as a three-dimensional shape having two identical polygons facing each other that are connected by rectangular or parallelogram faces laterally. Role of Mahatma Gandhi in Freedom Struggle. ![]()
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