Surface Area of a Square Pyramid Calculator

'Surface Area of the Square Pyramid Calculator' is an online tool that helps to calculate the surface area of the square pyramid. The surface area of a pyramid is a measure of the total area that is occupied by all its faces. 

What is the Surface Area of a Square Pyramid Calculator?

Online Surface Area of a Square Pyramid Calculator helps you to calculate the Surface Area of the Square Pyramid in a few seconds.The surface area of a pyramid is the sum of areas of its faces and hence it is measured in square units such as m², cm², in², ft², etc. A pyramid has two types of surface areas, one is the Lateral Surface Area (LSA) and the other is the Total Surface Area (TSA).

Surface Area of a Square Pyramid Calculator

How to Use the Surface Area of a Square Pyramid Calculator?

Follow the steps mentioned below to find the surface area:

• Enter the slant height of the square pyramid and edge length of the base in the respective input box.
• Click on Calculate to find the surface area of the square pyramid.
• Click on Reset to clear the fields and enter the new values.

How to Find the Surface Area of Square Pyramid?

A square pyramid is defined as a three-dimensional solid figure with a square base and four triangular faces /sides that meet at a point if all the triangular faces have equal edges and are called an equilateral square pyramid. If the apex (meeting point) is directly above the center of the base then it's called a right square pyramid. Thus surface area of the pyramid is equal to the sum of the area of the base and the area of all the four triangular faces.

Surface Area of the Square Pyramid = (2 × b × s) + b², where 'b' is the edge length of the base, and 'h' is the slant height of the square pyramid

Solved Examples on Surface Area of a Square Pyramid Calculator

Example 1:

Find the surface area of a square pyramid with slant height h = 4 units and base b = 3 units?

Solution:

The surface area of a square pyramid = (2 × b × s) + b²

(2 × 3 × 4) + 3²

= 24 + 9

= 33 square units.

Therefore, the surface area of a square pyramid is 33 square units.

Example 2:

Find the surface area of a square pyramid with slant height h = 10 units and base b = 7 units?

Solution:

The surface area of a square pyramid = (2 × b × s) + b²

(2 × 7 × 10) + 7²

= 140 + 49

= 189 square units.

Therefore, the surface area of a square pyramid is 189 square units.

Example 3:

Find the surface area of a square pyramid with slant height h = 8 units and base b = 11 units?

Solution:

The surface area of a square pyramid = (2 × b × s) + b²

(2 × 8 × 11) + 11²

= 176 + 121

= 297 square units.

Therefore, the surface area of a square pyramid is 297 square units.

Similarly, you can try the surface area of a square pyramid calculator to find the surface area of the square pyramid

1) h = 20, b = 20

2) h = 35, b = 10

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