# How do you find the volume of an equilateral triangular prism?

## How do you find the volume of an equilateral triangular prism?

Calculating volume

1. Remember the formula for calculating volume is: Volume = Area by height. V = A X h.
2. For a triangle the area is calculated using the formula: Area = half of base by altitude. A = 0.5 X b X a.
3. So to calculate the volume of a triangular prism, the formula is: V = 0.5 X b X a X h.

## What is the formula for a right prism?

The general formula for the total surface area of a right prism is T. S. A. =ph+2B where p represents the perimeter of the base, h the height of the prism and B the area of the base.

What is the formula for volume of a equilateral triangle?

Perimeter, Area, and Volume

Table 3. Volume Formulas
Shape Formula Variables
Cube V=s3 s is the length of the side.
Right Rectangular Prism V=LWH L is the length, W is the width and H is the height.
Prism or Cylinder V=Ah A is the area of the base, h is the height.

What is equilateral prism?

Equilateral prisms feature three equal 60° angles and are often referred to as dispersing prisms. Equilateral prisms are ideal for wavelength separating applications.

### What is the volume of the right prism?

The volume of a right prism is equal to the area of its base times its height. The base is a rectangle and a triangle.

### What is the surface area formula for a right triangular prism?

The formula that is used to calculate the surface area of a triangular prism is, Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 + S2+ S3)L + bh; where ‘b’ is the bottom edge of the base triangle, ‘h’ is the height of the base triangle, L is the length of the prism and S1, S2 and S3 …

How do you find the volume of a right prism?

To find the volume of a right prism, you multiply the length x width x height, or in the case of a right triangular prism, you find the area of the base and multiply this by the length or depth of the prism.

How do you find mass formula?

One way to calculate mass: Mass = volume × density. Weight is the measure of the gravitational force acting on a mass. The SI unit of mass is “kilogram”.

## What is the angle of an equilateral prism?

For an equilateral prism,angle of prism is 60∘.

## What is the angle of prism for equilateral triangle?

60∘
For an equilateral triangular prism, the angle of prism is 60∘.

What is the volume of a right pyramid?

Formula of Volume of a Right Square Pyramid The formula to determine the volume of a right square pyramid is V = 1/3 × b2 × h where “b” is the length of the base and “h” is the perpendicular height.

How do you find the volume of a right angle prism?

If the base of a triangular prism is a right-angled triangle of base ‘b’ and height ‘h’ and the height of the prism is ‘H”, then its base area = (1/2) bh. We know that the volume of the prism is base area × height and hence the volume of the prism, in this case, is found using the formula (1/2) bhH cubic units.

### What is an equilateral triangular prism?

An equilateral triangular prism is a three-dimensional shape having its bases as equilateral triangles. A triangular prism is a prism bounded on the top and bottom by two paralleled triangular bases and bounded on the sides by three rectangular faces.

### How to find the volume of an equilateral prism?

How to Find the Volume of an Equilateral Triangular Prism? 1 Determine the base area and the height of the prism. 2 Find the volume using the general formula V = Base Area × Height or V = (√3/4)a 2 × h, when the side of the equilateral triangle ‘a’ 3 Represent the final answer with cubic units.

What are the characteristics of a right triangular prism?

A right triangular prism has its three rectangular sides congruent. Also, the two triangular bases are parallel and congruent to each other. The rectangular or lateral faces are perpendicular to the triangular bases. The volume of a triangular prism is equal to the product of the triangular base area and the height of the prism.

What is the formula for surface area of a triangular prism?

The formula for the surface area of an equilateral triangular prism is calculated by adding up the area of all rectangular and triangular faces of a prism, which is = (√3a 2 /2) + 3 (a × h) What Is the Formula for the Volume and Surface Area of a Triangular Prism?