Created By : Abhinandan Kumar

Reviewed By : Rajashekhar Valipishetty

Last Updated : Apr 21, 2023

Volume of a Pyramid -The Volume of a Pyramid is equal to the 1/3 times length(1) times the width(w) times the height(h)

Enter the value of Length(l)

Enter the value of Width(w)

Enter the value of Height(h)

What is meant by the Volume of Pyramid?

In mathematics, The Volume of a Pyramid is equal to the 1/3 times length(1) times the width(w) times the height(h). Basically, the pyramid volume depends upon the type of pyramid's base, whether it is a triangle, square, or rectangle. If you have all the parameters to calculate the volume of a pyramid then use this simple and direct formula provided below.

Pyramid Volume Formula

A pyramid is a polyhedron figure formed by connecting a polygonal base and an apex. The basic formula for pyramid volume is given by one-third of the product of the area of the base to its height. Such as:

Volume = 1/3 x Area of the Base x Height
⇒ V = ⅓ A × H

Where V = Volume, A = Area and H = height

The Volume of a Pyramid is measured in the following units:

• in3
• ft3
• cm3
• m3 etc

Note: You can also use the equivalent formula to calculate the pyramid volume which is presented under,

Volume of a Pyramid (V) = (1/3) * l * w * h

where 'l' and 'w' are the length and width of the base, and 'h' is the height.

How to Calculate the Volume of a Pyramid with Rectangular Shape?

Solving the volume of a pyramid is an easy task if you know all the parameter values like length, width, and height of the pyramid. Make sure all these dimensions are in the same unit measurements while calculating the pyramid volume. Okay, let's start the process of calculating the volume of a pyramid in a stepwise manner.

1. First, we have to take the given input fields.
2. Now, to calculate the volume of a pyramid with a rectangular base, find the length and width of the base.
3. Thereafter, multiply those numbers together to determine the area of the base.
4. Next, multiply the area of the base by the height of the pyramid.
5. Later, take that result and divide it by 3 to calculate the pyramid's volume.
6. Finally, you will get the volume of a pyramid outcome in the required unit metric.

Still not sure about the concept of Volume of a pyramid, check out the solved examples along with step by step explanation. Thus, you will gain more knowledge on how to solve the pyramid volume-based problems of any shape. So, look at the below section without any fail.

Example: Calculate the Volume of a Pyramid for length 5 Cm, Width 3 Cm, and height 6 Cm?

Solution:

Given Length = 5 Cm

Width = 3 Cm

Height = 6 Cm

As per the formula for Volume of the Pyramid:

V = (1/3)*l*w*h

By substituting the given inputs in the pyramid volume formula we get the result as under

⇒ V = 1/3 * (5 cm * 3 cm * 6 cm)

Multiply 5 cm and 3 cm

⇒ V = 1/3 * 15.0 cm² * 6 cm

Multiply 15.0 cm² and 6 cm

⇒ V = 90.0 cm³ / 3

Divide 90.0 cm³ by number 3

⇒ Volume = 30.0 cm³.

Thus, the Volume of Pyramid whose length is 5 cm, width is 3 cm, and height is 6 cm is equal to 30 cm³.

How to Use the Volume of a Pyramid Calculator?

The volume of a Pyramid Calculator is a free online tool that calculates the respective shape of the pyramid volume and displays output in a fraction of seconds. Areavolumecalculator.com provides the online volume of a pyramid calculator tool to make your lengthy area and volume-based calculations done at a faster pace. So, try our calculator and find the volume of a pyramid easily by following the below-given instructions.

The procedure to use the volume of a pyramid calculator is as follows:

1. First, Enter the value of Length(l), Width(w), and Height(h) of the pyramid in the given input fields.
2. Now, select the unit measurements as per your requirement and then click on the 'Volume' button to get the result.
3. At last, the volume of a pyramid will be displayed on the page along with a detailed explanation of the calculation.

Different Types of Pyramids

Pyramids are of different types, such as:

• Triangular Pyramid
• Square Pyramid
• Rectangular Pyramid
• Hexagonal Pyramid

For all these types of pyramids, the formula for volume is different.