![]() ![]() 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. Volume of a pentagonal prism = (0.3) (5) (0.FAQs on Lateral Area of Triangular Prism What Are the Lateral Faces of a Triangular Prism? NOTE: This formula is only applied where the base or the cross-section of a prism is a regular polygon.įind the volume of a pentagonal prism with a height of 0.3 m and a side length of 0.1 m. S = side length of the extruded regular polygon. The volume of a hexagonal prism is given by:Ĭalculate the volume of a hexagonal prism with the apothem as 5 m, base length as 12 m, and height as 6 m.Īlternatively, if the apothem of a prism is not known, then the volume of any prism is calculated as follows Therefore, the apothem of the prism is 10.4 cmįor a pentagonal prism, the volume is given by the formula:įind the volume of a pentagonal prism whose apothem is 10 cm, the base length is 20 cm and height, is 16 cm.Ī hexagonal prism has a hexagon as the base or cross-section. The apothem of a triangle is the height of a triangle.įind the volume of a triangular prism whose apothem is 12 cm, the base length is 16 cm and height, is 25 cm.įind the volume of a prism whose height is 10 cm, and the cross-section is an equilateral triangle of side length 12 cm.įind the apothem of the triangular prism. The polygon’s apothem is the line connecting the polygon center to the midpoint of one of the polygon’s sides. The formula for the volume of a triangular prism is given as Volume of a triangular prismĪ triangular prism is a prism whose cross-section is a triangle. Let’s discuss the volume of different types of prisms. Where Base is the shape of a polygon that is extruded to form a prism. The volume of a Prism = Base Area × Length ![]() The general formula for the volume of a prism is given as Since we already know the formula for calculating the area of polygons, finding the volume of a prism is as easy as pie. The formula for calculating the volume of a prism depends on the cross-section or base of a prism. The volume of a prism is also measured in cubic units, i.e., cubic meters, cubic centimeters, etc. The volume of a prism is calculated by multiplying the base area and the height. To find the volume of a prism, you require the area and the height of a prism. pentagonal prism, hexagonal prism, trapezoidal prism etc. Other examples of prisms include rectangular prism. For example, a prism with a triangular cross-section is known as a triangular prism. Prisms are named after the shapes of their cross-section. By definition, a prism is a geometric solid figure with two identical ends, flat faces, and the same cross-section all along its length. In this article, you will learn how to find a prism volume by using the volume of a prism formula.īefore we get started, let’s first discuss what a prism is. The volume of a prism is the total space occupied by a prism. Volume of Prisms – Explanation & Examples ![]()
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