volume of triangular prism without height

#Volume of triangular prism without height how to#

The volume of a triangular prism is the space inside it. This height of the prism should not be confused with the height of the base triangle.įAQs on Volume of Triangular Prism What is the Volume of Triangular Prism?.The length of a triangular prism is also known as the height of the prism.Step 3: The volume of the given triangular prism = base area × length = 9√3 × 15 = 135√3 cubic inches.Step 2: The length of the prism is 15 in.So its area is found using the formula, √3a 2/4 = √3(6) 2/4 = 9√3 square inches. Step 1: The base triangle is an equilateral triangle with its side as a = 6.Solution: The volume of the triangular prism can be calculated using the following steps. Step 3: Multiply the base area (from step 1) and the length of the prism to find the volume.Įxample: Calculate the volume of the triangular prism whose length is 15 in and whose base is an equilateral triangle of side 6 inches.Step 2: Identify the length of the prism (Note that this length of the prism is also known as the height of the prism, and it should not be confused with the height of the base triangle).Step 1: Identify the type of the base triangle and find its area using a suitable formula (as explained in the previous section).Before that make sure that all measurements are of the same units. The volume of a triangular prism can be calculated with the help of the following steps and the example given below.

#Volume of triangular prism without height how to#

How to Find the Volume of 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 1/2 ab sin θ.Note that you can apply this formula (which is also called Heron's formula) for an isosceles triangle (or) an equilateral triangle as well.

If the base triangle is a scalene triangle where all three sides 'a', 'b', and 'c' are given, then its area is calculated using √ where, s = (a + b + c)/2.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).If the base triangle is a right-angled triangle (in this case, the prism is called a right triangular prism) with two legs 'b' and 'h' then its area = (1/2) bh.If the triangle's base 'b' and height 'h' are given, then its area = (1/2) bh.If the base triangle is an equilateral triangle (in this case, the prism is called equilateral triangular prism) with each side 'a', then its area = √3a 2/4.The following list shows the formulas to find the area of the base triangle. Here, we can find the area of the base triangle based on its type and the available information. By applying the above formula to a triangular prism, we get, Volume of a triangular prism = area of base triangle × length of the prism We know that the base of a triangular prism is a triangle.

We will use this formula to calculate the volume of a triangular prism as well. The volume of a prism = base area × length of the prism The volume of any prism is obtained by multiplying its base area by its length. We will see the formulas to calculate the volumes of different types of triangular prisms. It is measured in cubic units such as cm 3, m 3, in 3, etc. The volume of a triangular prism is the space inside it or the space occupied by it. Observe the triangular prism shown above where 'b' is the base of each side of two congruent triangles, 'h' is the height of the base triangle, and 'l' is the length of the prism. It is represented by 'l' in the figure given below. The length of the triangular prism is the perpendicular distance between the centers of the two bases.

3 side faces (which are congruent rectangles).

2 bases (which are congruent triangles).

By definition, the two triangular bases are parallel and congruent to each other. Or, it can be considered as a pentahedron (as it has 5 faces altogether) wherein the edges and vertices of the bases are joined with each other by three rectangular sides.

Definition of Triangular PrismĪ triangular prism is a polyhedron made up of two triangular bases and three rectangular sides. For this, let us first understand what a triangular prism looks like. The volume of a triangular prism can be calculated by taking the product of the area of the triangular base and the height of the prism which is also known as the length of the prism. What is the Volume of a Triangular Prism?