Formula to find the volume of triangular prism

If the base triangle's two sides 'a' and 'b' and the included angle 'Оё' are given, then its area is found using the formula 1/2 ab sin Оё square units.The formula is also known as Heron's formula. The same formula can be applied for an isosceles triangle or an equilateral triangle. Given the length, width, and height of a triangular prism, the task is to find the volume of the triangular prism. If the type of base triangle is scalene, where all three sides 'a', 'b', and 'c' are given, then its area is calculated using в€љ square units.If the base triangle is an isosceles triangle with its sides to be 'a', 'a', and 'b' then its area is (b/4) Г— в€љ(4a 2 - b 2 ) square units. However, a triangular prism is actually very simple to work with To find its volume, all you need is the area of the triangular base and the height of the.If the base triangle is a right-angled triangle or the prism is called a right triangular prism, with two legs 'b' and 'h' then its area is (1/2) bh square units.If the triangle's height 'h' and base 'b' are given, then its area is (1/2) bh square units.If the triangle base is equilateral or the prism is called an equilateral triangular prism with each side 'a', then its area is в€љ3a 2 /4 square units.Here b is the base length, h is the height of the triangle and l is the length between the triangular bases.ДЇormulas to find the Base Area of different trianglesДЇollowing are the formulas used to find the base area of different types of triangles. Volume of triangular prism = ВЅ x b x h x l = ВЅ bhl The base area = ВЅ bh, where b is the base length and h is the height of the triangle. Since the prism base is in triangular shape, Volume of a triangular prism = area of base triangle x height The volume of a triangular prism can be calculated by taking the product of the height of the prism and the area of the triangular base. It is measured in cubic units such as cm 3, m 3 etc. In simple words, the volume of a triangular prism refers to the space inside it. The volume of a triangular prism is the space occupied by it from all the three dimensions. The height (h) of the triangular prism is the perpendicular distance between the centres of the two parallel bases. The formula, in general, is the area of the base (the red triangle in the picture on the left) times the height, h. Both of the pictures of the Triangular prisms below illustrate the same formula. A prism is called a regular or uniform triangular prism if its sides are squares and bases are equilateral. The volume of a triangular prism can be found by multiplying the base times the height. If the sides of the prism are rectangular, it is called a right triangular prism and otherwise it is called an oblique triangular prism. The two triangular bases of the prism are parallel and congruent to each other. The edges and vertices of the prism base are joined with one another via the three rectangular sides. It can also be considered a pentahedron, as it has five faces. The volume formula for a triangular prism is (height x base x length) / 2, as seen in the figure below: Similar to rectangular boxes, you need just three dimensions: height, base, and length in order to find its volume.

A triangular prism is a polyhedron having two triangular bases and three rectangular faces.

Formula to find the volume of triangular prism