Volume of a Pyramid Calculator: Do you feel tough to calculate the volume of a pyramid? Now, it’s gonna easy for you by our pyramid volume calculator. You have two options to calculate the volume of a pyramid. Choosing the best option gives you full clarity on the concept and help you master in calculating the volume of pyramid-like solid.
With our Volume of a Pyramid Calculator, you can easily calculate the volume of a pyramid with a regular base. All you need to have is a side, height, and shape given, or directly give the base area and height inputs to get the output of the pyramid volume in a given shape. If you are still confused and not sure how to use our pyramid volume calculator tool and how to calculate the volume of a pyramid. Go ahead and know the step by step process in detailed explanation along with solved examples on calculating the volume of a pyramid.
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.
- First, we have to take the given input fields.
- Now, to calculate the volume of a pyramid with a rectangular base, find the length and width of the base.
- Thereafter, multiply those numbers together to determine the area of the base.
- Next, multiply the area of the base by the height of the pyramid.
- Later, take that result and divide it by 3 to calculate the pyramid’s volume.
- 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:
- First, Enter the value of Length(l), Width(w), and Height(h) of the pyramid in the given input fields.
- Now, select the unit measurements as per your requirement and then click on the ‘Volume’ button to get the result.
- 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.
Pyramid Volume Names
Name of the pyramid comes from the shape of the base:
| Faces | Edges | Vertices | Shape of base | Pyramid name |
|---|---|---|---|---|
| 4 | 6 | 4 | triangle | tetrahedron/triangular pyramid |
| 5 | 8 | 5 | square | square pyramid |
| 6 | 10 | 6 | pentagon | pentagonal pyramid |
| 7 | 12 | 7 | hexagon | hexagonal pyramid |
| 8 | 14 | 8 | heptagon | heptagonal pyramid |
| 9 | 16 | 9 | octagon | octagonal pyramid |
FAQs on Pyramid Volume Calculator
1. How do you find the Volume of a pyramid?
To calculate the pyramid volume for a particular shape, all you need to do is give the inputs of l, w, h in the input fields, and click on the Volume button on our calculator tool. That’s it!
2. What is the formula for Rectangular Pyramid Volume?
The Formula to Calculate the Volume of a Rectangular Pyramid is given by V=1/3*lwh.
3. How do you Solve Volume of a Pyramid Problems Easily?
You can Solve the Volume of a Pyramid Problems Easily by using our handy tool i.e. Volume of a Pyramid Calculator. Simply know how to use our calculator first from our page and get the Volume of a Pyramid along with detailed explanations.
4. Where can I find the Solved Examples for calculating the Volume of a Pyramid?
You can find Various Volume of a Pyramid Worked Examples on our page for a better understanding of the concept.