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#Surface area of a triangular prism how to#
How to Calculate the Surface Area of an Equilateral Triangular Prism? Lateral surface area of an equilateral triangular prism = 3(a × h) The lateral surface area of an equilateral triangular prism can be calculated by adding the areas of the three rectangular faces. The lateral surface area of any object is calculated by removing the base area or the lateral surface area is the area of the non-base faces only. Lateral Surface Area of an Equilateral Triangular Prism 'h' = Height of the equilateral triangular prism.'a' = Side length of the equilateral triangle.Total surface area of an equilateral prism = (√3a 2/2) + 3(a × h)
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When 'a' is the side length of the equilateral triangle and 'h' is the height of the equilateral triangular prism, the surface area of the three rectangular faces is 3(a × h) whereas the total area of the two equilateral triangular faces is 2 × (√3a 2/4). The formulas for LSA and TSA are given as: Total Surface Area of an Equilateral Triangular Prism
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The formula for the surface area of an equilateral triangular prism is calculated by adding up the area of all rectangular and triangular faces of a prism. This gives us our simplified formula as A = bh + 3bL.Surface Area of an Equilateral Triangular Prism Formula 2.) We can use this to replace (s1 + s2 + s3) in the formula with 3b. Problem 2: If we are given a triangular prism that has a base formed by an equilateral triangle, how can we simplify the surface area formula before solving it? Solution: 1.) Since an equilateral triangle is made of three equivalent side lengths, we know that our s1 = s2 = s3. A = 123.31 4.) The surface area of the right-angled triangular prism is 123.31. 3.) Now let’s plug our known values into the surface area formula. Using the Pythagorean theorem, we get: (s3) 2 = 4 2 + 7 2 s3 = 8.062. 2.) We are still missing s3, which is the hypotenuse of the right triangle. These will also be our first two sides, so s1 = 4 and s2 = 7. Solution: 1.) Since the base of the prism is formed by a right triangle and we know the leg lengths of the triangle, we can use the legs as the base and height. Find the surface area of the triangular prism. The lateral faces of the prism are formed by a rectangle with a length of 5. Problem 1: The bases of a triangular prism are formed by a right triangle with leg lengths of 4 and 7.