The following rules should be kept in mind while calculating the volume of a triangular prism.ġ) All the given values are to be denoted by the appropriate symbols with their units.Ģ) Determining the type of base triangle is useful.ģ) The appropriate formula for finding the area of a triangle must be applied on the basis of a type of the triangle and the information given in the question.Ĥ) Make sure that all the lengths must be represented by the same unit. The volume of a triangular prism is V(1)/(2)abh, where a is the altitude or height of the triangle, b is the base of the triangle, and h is the height of the prism. Height of the triangle = height of the tent Length of base of triangle = width of tent Solution: We obtain the following diagram – The volume of a triangular prism can be found by the formula:Ī triangular prism whose length is ‘l’ units, and whose triangular cross-section has base ‘b’ units and height ‘h’ units, has a volume of V cubic units given by Įxample: Calculate the volume of a tent in the shape of a triangular prism having a length of 10 feet, the width of 8 feet and a height of 7 feet. If you want to calculate the volume of a triangular prism, all you have to do is find the area of one of the triangular bases and multiply it by the height of the shape. It should not be confused with a pyramid. Exercises for Finding the Volume and Surface Area of Triangular Prism Find the volume and surface area for each triangular prism.A triangular prism is a three-sided polyhedron with two parallel triangular bases and three rectangular faces. The volume of the given triangular prism \(=base\:area\:×\:length\:of\:the\:prism = 24 × (10) = 240\space in^3\). Using the volume of the triangular prism formula, Step 3: Represent the final answer with cubic units.
Step 2: Find the volume using the general formula V Base Area × Height or V (3/4)a 2 × h, when the side of the equilateral triangle a and the height h of a triangular prism is known. The length of the prism is \(L = 10\space in\). Step 1: Determine the base area and the height of the prism. As we already know that the base of a triangular prism is in the shape of a triangle. The volume of a triangular prism is the product of its triangular base area and the length of the prism. There are two important formulas for a triangular prism, which are surface area and volume. Any cross-section of a triangular prism is in the shape of a triangle.The two triangular bases are congruent with each other.It is a polyhedron with \(3\) rectangular faces and \(2\) triangular faces.A triangular prism has \(5\) faces, \(9\) edges, and \(6\) vertices.The following are some features of a triangular prism: The properties of a triangular prism help us to easily identify it. See the image below of a triangular prism where \(l\) represents the length of the prism, \(h\) represents the height of the base triangle, and \(b\) represents the bottom edge of the base triangle. Thus, a triangular prism has \(5\) faces, \(9\) edges, and \(6\) vertices. The \(2\) triangular faces are congruent to each other, and the \(3\) lateral faces which are in the shape of rectangles are also congruent to each other.
#Find volume of a triangular prism how to
How to Find the Volume and Surface Area of Rectangular Prisms?Ī step-by-step guide to finding the volume and surface area of triangular prismĪ triangular prism is a three-dimensional polyhedron with three rectangular faces and two triangular faces.The name of a particular prism depends on the two bases of the prism, which can be triangular, rectangular, or polygonal. The prism is a solid shape with flat faces, two identical bases, and the same cross-section along its entire length. + Ratio, Proportion & Percentages Puzzles.
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