![]() Here is how the Lateral Surface Area of Triangular Prism calculation can be explained with given input values -> 1100 = (10+14+20)*25. How to calculate Lateral Surface Area of Triangular Prism using this online calculator? To use this online calculator for Lateral Surface Area of Triangular Prism, enter Side A of Base of Triangular Prism (S a), Side B of Base of Triangular Prism (S b), Side C of Base of Triangular Prism (S c) & Height of Triangular Prism (h) and hit the calculate button. Lateral Surface Area of Triangular Prism is denoted by LSA symbol. Lateral Surface Area of Triangular Prism calculator uses Lateral Surface Area of Triangular Prism = (Side A of Base of Triangular Prism+Side B of Base of Triangular Prism+Side C of Base of Triangular Prism)*Height of Triangular Prism to calculate the Lateral Surface Area of Triangular Prism, The Lateral Surface Area of Triangular Prism formula is defined as the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Triangular Prism. How to Calculate Lateral Surface Area of Triangular Prism? Height of Triangular Prism - (Measured in Meter) - The Height of Triangular Prism is the length of the straight line connecting any base vertex to the corresponding top vertex of the Triangular Prism. Side C of Base of Triangular Prism - (Measured in Meter) - The Side C of Base of Triangular Prism is the length of the side C of base, of the three base edges of the Triangular Prism. Side B of Base of Triangular Prism - (Measured in Meter) - The Side B of Base of Triangular Prism is the length of the side B of base, of the three base edges of the Triangular Prism. Side A of Base of Triangular Prism - (Measured in Meter) - The Side A of Base of Triangular Prism is the length of the side A of base, of the three base edges of the Triangular Prism. In this particular case, we're using the law of sines.Variables Used Lateral Surface Area of Triangular Prism - (Measured in Square Meter) - The Lateral Surface Area of Triangular Prism is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Triangular Prism. One edge of the rectangle is the perimeter of the triangle. Image caption, The rectangular faces can be combined to form one rectangle. Here's the formula for the triangle area that we need to use:Īrea = a² × sin(β) × sin(γ) / (2 × sin(β + γ)) The total surface area of the prism is 96 cm². We're diving even deeper into math's secrets! □ In this particular case, our triangular prism area calculator uses the following formula combined with the law of cosines:Īrea = Length × (a + b + √( b² + a² − (2 × b × a × cos(γ)))) + a × b × sin(γ) ▲ 2 angles + side between You can calculate the area of such a triangle using the trigonometry formula: Now, it's the time when things get complicated. We used the same equations as in the previous example:Īrea = Length × (a + b + c) + (2 × Base area)Īrea = Length × Base perimeter + (2 × Base area) ▲ 2 sides + angle between Where a, b, c are the sides of a triangular base ![]() This can be calculated using the Heron's formula:īase area = ¼ × √ We're giving you over 15 units to choose from! Remember to always choose the unit given in the query and don't be afraid to mix them our calculator allows that as well!Īs in the previous example, we first need to know the base area.
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