Surface Area of Square Pyramid

  • Total Surface Area Formula of Square Pyramid
  • Lateral Surface Area Formula of Square Pyramid

Surface Area of a Square Pyramid

Total Surface Area Formula of Square Pyramid

A square pyramid’s total surface area is equal to the total area covered by the four triangular sides and a square base. Its formula is equal to the sum of the base area and twice the product of base length and slant height.

TSA = a2 + 2al

In terms of the base length and height of the pyramid, the formula is expressed as:

TSA = a2 + 2a √(a2/4 + h2)

where,

  • TSA is the Total Surface Area
  • a is the Base Length
  • h is the Height or Altitude

Lateral Surface Area Formula of Square Pyramid

A square pyramid’s lateral surface area is defined as the area covered by its four triangular faces. Its formula is equal to twice the product of base length and slant height. It can be interpreted as the total surface area reduced by the base area of a square pyramid.

LSA = 2al

In terms of the base length and height of the pyramid, the formula is expressed as:

LSA = 2a √(a2/4 + h2)

where,

  • LSA is the Lateral Surface Area,
  • a is the Base Length,
  • h is the Height or Altitude

How to find the Surface Area of a Square Pyramid?

Area of the square pyramid can be easily calculated using various formulas that are added in the article below. In this article, we have covered Square Pyramid definition, its formulas, examples and others in detail.

Table of Content

  • What is Square Pyramid?
  • Surface Area of Square Pyramid
    • Total Surface Area Formula of Square Pyramid
    • Lateral Surface Area Formula of Square Pyramid
  • How to Find Surface Area of a Square Pyramid?
  • Examples on Surface Area of a Square Pyramid Formulas

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