volume of right trapezoidal prism calculator

The only case when we can't calculate triangular prism area is when the area of the triangular base and the length of the prism are given (do you know why? Think about it for a moment). Using law of sines, we can find the two sides of the triangular base:Īrea = (length * (a + a * (sin(angle1) / sin(angle1+angle2)) + a * (sin(angle2) / sin(angle1+angle2)))) + a * ((a * sin(angle1)) / sin(angle1 + angle2)) * sin(angle2) Dont you worry - our right trapezoid calculator is here to help you with all the necessary steps. The volume formula for a cylinder is height x x (diameter / 2)2, where (diameter / 2) is the radius of the base (d 2 x r), so another way to write it is height x x radius2. Triangular base: given two angles and a side between them (ASA) Using law of cosines, we can find the third triangle side:Īrea = length * (a + b + √( b² + a² - (2 * b * a * cos(angle)))) + a * b * sin(angle) Triangular base: given two sides and the angle between them (SAS) However, we don't always have the three sides given. area = length * (a + b + c) + (2 * base_area) = length * base_perimeter + (2 * base_area).If you want to calculate the surface area of the solid, the most well-known formula is the one given three sides of the triangular base : You can calculate that using trigonometry: Length * Triangular base area given two angles and a side between them (ASA) You can calculate the area of a triangle easily from trigonometry: Length * Triangular base area given two sides and the angle between them (SAS) The perimeter of the trapezoid is 'P', and 'H' is the height of the prism. We will use this formula to calculate the volume of a trapezoidal prism as well. i.e., volume of a prism base area × height of the prism. In this formula, 'b1' and 'b2' stand for the length of the bases of the trapezoid. The volume of a prism can be obtained by multiplying its base area by total height of the prism. If you know the lengths of all sides, use the Heron's formula to find the area of the triangular base: The surface area of a trapezoidal prism can be given with this formula: (b1+b2)h + PH. Length * Triangular base area given three sides (SSS) It's this well-known formula mentioned before: Remember, in order to calculate the area of a triangle we need to know the base of the triangle. Knowing the bases area, then you need to multiply this area by the height of the pyramid and divide it by 3. Length * Triangular base area given the altitude of the triangle and the side upon which it is dropped To calculate the volume of a triangular pyramid we need to obtain the area of the base which is a triangle different than the other faces. Our triangular prism calculator has all of them implemented. A general formula is volume = length * base_area the one parameter you always need to have given is the prism length, and there are four ways to calculate the base - triangle area. In the triangular prism calculator, you can easily find out the volume of that solid.

Volume of right trapezoidal prism calculator