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
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About the Volume of a Prism
What does a prism look like? To understand a prism, we have provided a picture below. In which the shape of a prism is shown, which will make it easier for you to understand a prism. It has triangles on both ends, And the side of the triangle is called the base. The lateral face of the sides of the triangle is called the lateral face. So this lateral face will be denoted by the capital L. In this, we will represent the three sides of this triangular base as A, B, and C, And the height of this triangular base is denoted by a small h.
98 There are two formulas to calculate the volume of a triangular prism. Formula 1. Volume = (base × height of the triangle) ÷ 2 × height of the prism. Formula 2: Volume = (height x base x length) / 2. We will calculate using both formulas. Here, we will calculate using the first formula. If a triangular prism has a base of 10 units, a length of 30 units, and a height of 20 units, we will first have to calculate the area of the base. First, find the area of the base: (10 × 30) ÷ 2 = 150 square units. Now, to calculate the volume, we will multiply the height of the prism by the base of the prism. Height of the prism (20 units): 150 × 20 = 3000 cubic units. This will give us the volume of our prism, which is 3000 cubic units.
Volume of a Prism Calculation formula
Here, we are going to understand the volume of a triangular prism. First, we will know and understand the formula for the volume of a triangular prism. Finding the volume of a triangular prism is easy. You multiply the area of the triangle base by the height of the prism.
1. Volume = (base × height of the triangle) ÷ 2 × height of the prism.
2. Volume = (height x base x length) / 2.
as seen in the figure below:
Volume of a Prism Calculation Example
FAQ
1. What is the formula to determine a prism’s volume?
For the volume of a prism, use this formula:
1. Volume = (base × height of the triangle) ÷ 2 × height of the prism.
2. Volume = (height x base x length) / 2.
2. Can I use the Volume of a Prism Calculator for all types of prisms?
Yes, prisms of all shapes and sizes, including polygonal prisms, triangular prisms, and rectangular prisms, can be entered into the calculator. Understanding the area of the base shape is essential.
3. What unit must be used while calculating using this volume of a Prism Calculator?
As long as you use the same unit of measurement throughout the calculation, you can use any measuring unit—centimeters, meters, inches, etc. Area = square units, whereas volume = cubic units.
4. How can I calculate a triangular prism’s base area?
You can find the base area of a triangular prism using the formula for the area of a triangle: Triangle Area = ¾ × base × height.
5. What if I use the Area of a Circle Calculator and I am not aware of the radius?
In case you are unknown about the radius, if you consider the diameter, you can derive the radius as * Diameter / 2 = Radius.
6. Are both the area of a circle and the volume of a Prism calculator compatible with mobile devices?
Yes, they are, because the area of a circle calculator, as well as the volume of a prism calculator, are made completely responsive and work on computers and mobile devices.
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 is it important to use these calculators?
The calculators help in cross-checking the calculations so that the calculations are flawless and accurate. They save you time and minimize the possibility of human errors, especially when dealing with sophisticated cases.
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