Finding the volume of an oblique hexagonal prism when BASE EDGE and HEIGHT are known. Equation for calculate Volume of a Trapezoidal Prism. Volume of a Trapezoidal Prism Calculator. Solution: Here we will use an alternate formula. Equation for calculate volume of a trapezoidal prism is, v A l. In this particular case, we're using the law of sines. Find the volume of a hexagonal prism with a base edge of 6.5 cm and a height of 10.8 cm. 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: See step-by-step solutions with examples and diagrams for different values of length, height, slant height, and width. Now, it's the time when things get complicated. Learn how to calculate the volume of a trapezoidal prism using two formulas, one for symmetrical and one for asymmetrical shapes. 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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