![]() Step 1: Identify the given dimensions of the triangular prism. If the base triangle's two sides 'a' and 'b' and the included angle 'θ' are given, then its area is found using the formula 1/2 ab sin θ square units. Find the volume of the triangular prism shown in the figure. ![]() The formula is also known as Heron's formula. The same formula can be applied for an isosceles triangle or an equilateral triangle. If the type of base triangle is scalene, where all three sides 'a', 'b', and 'c' are given, then its area is calculated using √ 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) × √(4a 2 - b 2 ) square units.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 √3a 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.įormulas to find the Base Area of different trianglesįollowing are the formulas used to find the base area of different types of triangles. Volume of triangular prism = ½ x b x h x l = ½ bhl The base area = ½ bh, where b is the base length and h is the height of the triangle. Since the prism base is in triangular shape, A triangular prism is a 3D solid formed by putting rectangles and triangles together. 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. A prism is called a regular or uniform triangular prism if its sides are squares and bases are equilateral. If the sides of the prism are rectangular, it is called a right triangular prism and otherwise it is called an oblique triangular prism. As a formula where: a is the area of one triangular end face. In the case of a triangular prism, each base is a triangle. The volume of any prism can be found by multiplying the area of one of the bases by its height. Recall that a prism has two congruent, parallel faces called the bases of the prism. The two triangular bases of the prism are parallel and congruent to each other. How to find the volume of a triangular prism. 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. A triangular prism is a polyhedron having two triangular bases and three rectangular faces.
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