Volume of a Prism Calculator

Use this Volume of a prism calculator to easily and quickly calculate the volume of a triangular prism or tank from its length, base, and height in any metric

Volume of a Prism Calculator
Volume of a Prism Calculator
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Volume of a Prism Calculator

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About the Volume of a Prism

What does a prism look like? Below is a picture to help us understand a prism. It shows the shape of a prism in which you will understand a prism very easily. On both ends it has triangles and the side of the triangle is called the base of it. The lateral face is the lateral face of the sides of the triangle. This lateral face will then be denoted by the capital letter L. Let’s then represent this triangular base’s three sides as A, B, and C and the height of this triangular base in H with a small letter.

Volume of a Prism Calculator 1

Two formulas for computing the volume of a triangular prism are there. Formula 1. For a triangle base, volume = (base × the height of the triangle) ÷ 2 × the height of the prism. Formula 2: volume = (height x base x length) / 2 is its volume. Both formulas will be used to calculate. We will use the first formula here. In the case of a triangular prism, having a base of 10 units, a length of 30 units, and a height of 20 units, we have to first calculate the area of the base. First, find the area of the base: (10 × 30) ÷ 2 = 150 square units. To find volume now, we multiply the height of the prism by the base area of the prism. Height of the prism (20 units): 150 × 20 = 3000 cubic units. It will tell us the volume of our prism which is 3000 unit cube.

Volume of a Prism Calculation formula

Now we’ll discuss the volume of a triangular prism. Next, we will know the volume formula of a triangular prism. The volume of a triangular prism is easy to find. Area of the triangle base x height of the prism.
1. Volume = (base × the height of the triangle) ÷ 2 × the height of the prism.
2. (height × base × length)/2 = Volume
as seen in the figure below:

Volume of a Prism Calculator

Volume of a Prism Calculation Example

1. Now, we will calculate the volume of a triangular prism based on the formula. Let's take an example. If a triangular prism has a base of 10 units, a length of 30 units, and a height of 20 units
Formula 1: Volume = (base × height of the triangle) ÷ 2 × height of the prism.
First, find the area of the base: (10 × 30) ÷ 2 = 150 square units. 
Then, multiply this by the height of the prism (20 units): 150 × 20 = 3000 cubic units. 
So, the volume of this prism is 3000 cubic units.
 
2. Now, we will calculate the volume of a triangular prism based on the formula. Let's take an example. If a triangular prism has a base of 5 units, a length of 6 units, and a height of 7 units
Formula 2: Volume = (height x base x length) / 2.
 V = ( 5 x 6 x 7 ) / 2
 V = ( 210 ) / 2
 V = 105 units3

FAQ

1. How can we calculate the volume of a prism? 
For the volume of a prism, use this formula:

1. Volume of triangle = (base × height of the triangle) ÷ 2 × height of the prism.
2. Volume of triangle = (height x base x length) / 2.
2. Can I use the Volume of a Prism Calculator for any type of prism?
If we can put a prism in any shape, we are right. Polygonal prism, triangular prism, rectangular prism — all these prisms can be made to go into this calculator. The area of the base shape must be understood. 

3. So how do we calculate when we work with this volume in Prism Calculator? 
But if you’re using the same measuring unit throughout the calculation then you can use centimeters, kilometers, inches, whatever. Area = square units, whereas volume = cubic units. If you have length, you have area, if you have area, you have volume, if you have length and area you have volume. 

4. I want to know how I can figure out the base area of a triangular prism. 
You can find the base area of a triangular prism using the formula for the area of a triangle: The Triangle Area = ¾ x base x height. 

5. If you do use the Area of a Circle Calculator and you don’t know the radius, where will it get from? 
If you are not familiar with diameter, we take the radius as * Diameter / 2 = Radius.

6. Is the area of a circle and the volume of a Prism calculator available for mobile devices?
Of course, they are, because the circle area calculator and prism volume calculator are fully responsive and work on computers and smartphones.

7. What is the difference between volume and area?
Volume is that space inside a three-dimensional object, measured in cubic units. The area is a surface of a two-dimensional form measured in square units.
8. Why do these calculators matter?
Cross-checking with the calculators will assist you in making sure the calculations are flaw and flawless. They do not take time and do away with the chances of human errors especially for complex cases.

Use This  Volume of a Cube Calculator is very easy to use for everyone. And gives immediate response to Volume of a Cube calculations.

Use this Volume of a Cylinder Calculator to easily calculate the volume of a cylinder from its base radius and height in any metric.

Use This  Volume of a Sphere Calculator is easy to use for everyone. And gives immediate response to Volume of a Sphere calculations.

Use this volume of a Cone calculator to easily and quickly calculate the volume of a cone from its base radius and height in any metric .

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