Mathematics

How to Calculate and Solve for the Height, Base Edge and Area of a Square Pyramid | Nickzom Calculator

Last Updated on February 17, 2024

The image above is a square pyramid. To calculate the area of a square pyramid, two essential parameters are needed and these parameters are base edge (a) and height (h).

The formula for calculating the area of a square pyramid:

A = a² + 2a√(( / 4) + h²)

Where;
A = Area of a square pyramid
a = Base edge of the square pyramid
h = Height of the square pyramid

Let’s solve for an example;
Find the area of a square pyramid when the base edge (a) given is 8 cm with a height (h) of 12 cm.

This implies that;
a = Base edge of the square pyramid = 8 cm
h = Height of the square pyramid = 12 cm

A = a² + 2a√(( / 4) + h²)
A = 8² + 2 x 8√(( / 4) + 12²)
Then, A = 64 + 16√((64 / 4) + 144)
A = 64 + 16√(16 + 144)
A = 64 + (16)(√160)
So, A = 64 + (16)(12.65)
A = 64 + 202.3857
A = 266.386

Therefore, the area of the square pyramid is 266.386 cm2.

Read more: How to Calculate and Solve for the Height and Volume of a Square Pyramid Frustum | Nickzom Calculator

How to Calculate the Area of a Square Pyramid Using Nickzom Calculator

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the area of a square pyramid.

To get the answer and workings of the area of a square pyramid using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.

You can get this app via any of these means:

Web – https://www.nickzom.org/calculator-plus

To get access to the professional version via web, you need to register and subscribe for NGN 1,500 per annum to have utter access to all functionalities.
You can also try the demo version via https://www.nickzom.org/calculator

Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator
Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8

Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Mensuration under the Mathematics section

How to Calculate and Solve for the Height, Base Edge and Area of a Square Pyramid | Nickzom Calculator

Now, click on Area of a square pyramid under Mensuration

How to Calculate and Solve for the Height, Base Edge and Area of a Square Pyramid | Nickzom Calculator

The screenshot below displays the page or activity to enter your values, to get the answer for the area of a square pyramid according to the respective parameters which are the base edge (a) and height (h).

How to Calculate and Solve for the Height, Base Edge and Area of a Square Pyramid | Nickzom Calculator

Now, enter the values appropriately and accordingly for the parameters as required by the example above where the base edge (a) is 8 cm and height (h) is 12 cm.

Finally, Click on Calculate

As you can see from the screenshot above, Nickzom Calculator – The Calculator Encyclopedia solves for the area of a square pyramid and presents the formula, workings and steps too.

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