How do you find the volume of a triangular prism with an equilateral base?

The volume of an equilateral triangular prism can be easily found out by using the formula, Volume = (√3/4)a2 × h, where,’a’ is side length and ‘h’ is the height of the equilateral triangular prism.

How do u find the volume of a triangular prism?

Volume of a triangular prism = area of base triangle × height

1. If the base triangle is equilateral (in this case, the prism is called equilateral triangular prism) with each side ‘a’, then its area is √3a2/4 square units.
2. If the triangle’s base ‘b’ and height ‘h’ are given, then its area is (1/2) bh square units.

How do you find the area of an equilateral triangular prism?

Thus, total surface area of an equilateral triangular prism is (√3a2/2) + 3(a × h); Lateral surface area of an equilateral triangular prism = 3(a × h), where, ‘h’ is height of a prism and ‘a’ is side length of the triangular base.

Are triangular prism always equilateral?

Altogether, it has five faces, nine vertices and six edges. The sides and bases of the triangular prism are congruent or else oblique. The edges of the prism join the corresponding sides. The two bases of this prism are equilateral triangles and edges of these triangles are parallel to each other.

What is the base of a triangular prism?

Triangle
Triangular prism/Base shape

The top and bottom, which are triangles, are bases. The three rectangles are called lateral faces. A triangular prism has five faces consisting of two triangular bases and three rectangular lateral faces, and a base is also a face.

What is the formula of volume of triangle?

The area of a triangle is A=12bh. Essentially, to find to the volume of the triangular prism, you are multiplying the area of the triangle times the length or depth. So, the formula for the volume of a triangular prism would be V=12bhl.

Is there an equilateral triangular prism having refractive index root 3?

Answer: equilateral…means angle of prism=60.. R.I=sqrt(3)=sin((d+60)/2)/sin 30……by solving we get d=60.. angle of deviation.

What is the base edge of a triangular prism?

3 edges
The base of a triangular prism has 3 edges. It therefore has 3 side faces plus the base and top, or 5 in all. A hexagonal prism has 6 side faces plus the base and top, or 8 faces in all.

How do you calculate the volume of a triangular prism?

Volume of a Prism Calculator Use this calculator to easily calculate the volume of a triangular prism or tank from its length, base, and height in any metric: mm, cm, meters, km, inches, feet, yards, miles… Volume of a triangular prism formula The volume formula for a triangular prism is (height x base x length) / 2, as seen in the figure below:

What is the length of the base of the prism?

Base = 5cm, height of the base= 10cm, length of the base=15cm, Height of the prism = 4cm As the base is an equilateral triangle, therefore all its sides will be equal. Hence, a = b = c = 6cm.

What is an example of a triangular prism?

Some of the examples of triangular prism are given below: Example 1: Find the volume of the triangular prism with base is 4 cm, height is 8 cm, and length is 12 cm. Example 2: If the height of the prism is 6cm and the length of the side of the equilateral triangular base is 12 cm.

What is the formula to find the volume of a triangle?

The two most basic equations are: volume = 0.5 * b * h * length, where b is the length of the base of the triangle, h is the height of the triangle and length is prism length area = length * (a + b + c) + (2 * base_area), where a, b, c are sides of the triangle and base_area is the triangular base area