Lateral surface area of a rectangular prism = 2(l + b) h square unitsĮxample: Determine the total surface area of a rectangular prism with the following dimensions: Length (l) = 8 inches Breadth (b) = 5 inches Height (h) = 7 inches. The formula to find the surface area of a rectangular prism is given as, the total area excluding the area of the bases. The lateral surface area of a rectangular prism can be calculated by finding the sum of all the lateral faces of the prism, i.e. Lateral Surface Area of a Rectangular Prism ☛Note: The unit of measurement of the area of the rectangular prism is square units. Total surface area of a rectangular prism = 2(lb + bh + lh) square units The total surface area of a rectangular prism can be calculated by finding the total area of all six faces. A rectangular prism can have two types of areas: To calculate the surface area of a rectangular prism, we need to simply find the sum of the areas of the faces of the prism. Surface Area of Rectangular Prism Formula Let us see the basic formulas to calculate the total surface area and lateral surface area of a rectangular prism in the next section. In the right rectangular prism, bases are perpendicular to each other whereas, in an oblique rectangular prism, the bases are not aligned one above the other. This total area of the six surfaces is called the surface area of a rectangular prism.Ī rectangular prism can be classified as a right rectangular prism or an oblique rectangular prism. First, you will need to know the sum of the areas of the six surfaces of the box (four lateral side surfaces, top surface, and bottom surface). You need to calculate the amount of wrapping paper that will be needed to cover it. For example, we can relate the surface area of a rectangular prism with the surfaces of the objects given below: a book, a cuboid-shaped aquarium, a box, etc.įor example, let's say there is a box that needs to be gift-wrapped. Therefore, both the bases of a rectangular prism must also be rectangles. It has six faces, and all the faces are rectangular shaped. A rectangular prism is a three-dimensional shape. The total region or area covered by all the faces of a rectangular prism is defined as the surface area of a rectangular prism. Step 4: Write the final value in appropriate square units.What is Surface Area of a Rectangular Prism?.Step 3: Put the values of the given dimensions in the formula, LSA = (a + b + c) h or Ph.Step 2: Identify the height of the prism, h.Step 1: Identify the dimensions of the triangular base (the bases of the three rectangular faces) and find the perimeter, P = a + b + c.To calculate the lateral area of a triangular prism, follow the steps given below: How To Calculate the Lateral Area of a Triangular Prism? In order to find the lateral area, put the respective values in the formula and add the unit with the final value so obtained. Thus, we can conclude that the lateral surface area of the triangular prism = Perimeter of the base × Height of the Prism. Also, (a + b + c) is the perimeter of the base (triangle). The lateral surface area of the right triangular prism (LSA) = ah + bh + ch (or) (a + b + c) h, where a, b and c are the bases of the rectangular faces and h is the common height or the total height of the prism. How to Find the Lateral Area of a Right Triangular Prism? The formula to find the lateral area of a triangular prism is, (a + b + c) h or Ph. Thus, the lateral area of a triangular prism is the sum of the side faces, that is the three rectangular faces. We know that the lateral area of any prism is the sum of the areas of its side faces. What Is the Formula To Find the Lateral Area of a Triangular Prism? The lateral area of a prism of height h where the dimensions of the triangular bases are a, b, and c is (a + b + c) h. The lateral surface area of a triangular prism is the sum of the areas of all its side faces which are 3 rectangles. What Is the Meaning of the Lateral Surface Area of a Triangular Prism? A triangular prism has 3 lateral faces that are rectangles. Which Polygon Is a Lateral Face of the Triangular Prism?Įach lateral face (side face) of a triangular prism is a rectangle. The "bases" of a triangular prism are the triangles (which are congruent and parallel) that lie on the top and bottom of the prism whereas the "lateral faces" are the side faces (all faces other than the "bases") that are rectangles. How Is a Lateral Face of a Triangular Prism Different From a Base? The base of each of these rectangles coincides with one side of the triangular base. All these rectangles have the same height. The lateral faces of a triangular prism are rectangles. FAQs on Lateral Area of Triangular Prism What Are the Lateral Faces of a Triangular Prism?
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