In case they are not, use conversions to make them equal.ĥ) Writing unit of volume (unit 3 or cubic unit) along with the answer is a must. The volume is equal to the product of the area of the base and the height of. 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. This geometry video tutorial explains how to calculate the volume of a triangular prism using a simple formula. The formula is given as, Volume (3/4)a 2 × h where, 'a' Side length, and, 'h' Height of equilateral triangular prism. The formula for the volume of a triangular prism is: V (1/2) triangle base triangle height prism height Substituting the given values: V (1/2) 5 ft 3 ft 7.5 ft V 56.25 ft3 Rounding to the nearest whole number: V 56 ft3 Therefore, the answer is (a) 56 ft. Height of the triangle = height of the tent The volume of an equilateral triangular prism formula is used to calculate the volume when the side length and height of the equilateral prism are given. Length of base of triangle = width of tent For example, if the height is 5 inches, the base 2 inches and the length 10 inches, what is the prism volume To get the answer, multiply 5 x 2 x 10 and divide. 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. A triangular prism is a three-sided polyhedron with two parallel triangular bases and three rectangular faces.
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