![]() In this particular case, we're using the law of sines. Here's the formula for the triangle area that we need to use:Īrea = a² × sin(β) × sin(γ) / (2 × sin(β + γ)) 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: Volume of Triangular Prism × b × h × l Where b is the base length, h is the height of the triangle and l is the length between the triangular bases. Now, it's the time when things get complicated. The following diagram shows a right triangular prism and its dimensions. Both these types of prisms have the same formula for volume. ![]() A right prism has rectangular faces instead of parallelogram ones. ![]() 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 A prism is a solid object that has two congruent faces on either end joined by parallelogram faces laterally. The answer is the surface area of the above triangular prism is 486 square inches. Where a, b, c are the sides of a triangular base SA 108 + 27(14) Then, multiply the sum of the triangle sides by the height of the prism (H) and add the values together for the answer, making sure to include the appropriate unit of measurement. 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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