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.
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. 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.
#FIND THE SURFACE AREA OF A TRIANGULAR PRISM HOW TO#
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