# How to Calculate and Solve for the Height, Base Edge and Volume of a Square Pyramid | The Calculator Encyclopedia

The image above represents a square pyramid. To calculate the volume of a square pyramid requires two essential parameters which are the base edge and height of the square pyramid.

The formula for computing the volume of a square pyramid is:

V = haÂ² / 3

Where:
V = Volume of the Square Pyramid
a = Base edge of theÂ Square Pyramid
h = Height of theÂ Square Pyramid

Letâ€™s solve an example
Find the volume of a square pyramid with a base edge of 6 cm and a height of 11 cm.

This implies that:
a = base edge of the square pyramid = 6
h= = height of the square pyramid = 11

V =Â haÂ² / 3
V = 11(6)Â² / 3
So, V = 11(36) / 3
V = 396 / 3
V = 132

Therefore, the volumeÂ of the square pyramidÂ is 132Â cm3.

### Calculating the Base edge of a square pyramid when Volume and Height are Given

The formula is a = âˆš(3V / h)

Where;
V = Volume of the Square Pyramid
a = Base edge of the Square Pyramid
h = Height of the Square Pyramid

Letâ€™s solve an example:
Find the base edge of a square pyramid with a volume of 50 cm3Â and a height of 20 cm.

This implies that;
V = Volume of the square pyramid = 50 cm3
hÂ  = height of the square pyramid = 20 cm

a =Â âˆš(3V / h)
a =Â âˆš(3(50) / 20)
That is, a = âˆš(150 / 20)
a = âˆš7.5
a = 2.739

Therefore, theÂ base edge of the square pyramidÂ isÂ 2.739 cm.

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### Calculating the height of a square pyramid when Volume and Base edge are Given

The formula is h = 3V / a2

Where;
a = Base edge of the square pyramid
V = Volume of the Square Pyramid
h = Height of the Square Pyramid

Letâ€™s solve an example:
Find the height of a square pyramid with a volume ofÂ  250 cm3Â  and a base edge of 7 cm2

This implies that;
V = Volume of the square pyramid = 250 cm3
a = Base edge of the square pyramid = 7 cm

h =Â  3V / aÂ²
h =Â 3(250)Â /Â 7Â²
Then, h = 750Â /Â 49
h = 15.306

Therefore, theÂ height of the square pyramidÂ isÂ 15.306 cm.

### How to Calculate and Solve for the Volume of a Square Pyramid Using Nickzom Calculator

Nickzom Calculator â€“Â The Calculator EncyclopediaÂ is capable of calculating the volume of a square pyramid.

To get the answer and workings of the volume of a square pyramid using theÂ Nickzom Calculator â€“ The Calculator Encyclopedia.Â First, you need to obtain the app.

You can get this app via any of these means:

To get access to theÂ professionalÂ version via web, you need toÂ registerÂ andÂ subscribeÂ forÂ NGN 1,500Â perÂ annumÂ to have utter access to all functionalities.
You can also try theÂ demoÂ version viaÂ https://www.nickzom.org/calculator