![]() 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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