Square Pyramid Surface Area Calculator
Easily calculate the surface area of a square pyramid online using our free calculator. Just enter the base side length and slant height to find the total surface area. Perfect for geometry and math calculations.
Input Parameters
Enter the dimensions of the square pyramid to calculate its surface area.
Formula
The surface area (SA) of a square pyramid is calculated using the formula:
- SA is the Surface Area
- s is the Base Side Length
- l is the Slant Height
Visual Representation
Learn About Square Pyramid Surface Area
A square pyramid is a pyramid with a square base. Its surface area is the total area of all its faces, including the base and the triangular sides. The formula to calculate the surface area involves the base side length and the slant height.
The base area is simply the square of the base side length (s²). The lateral surface area consists of four triangles. For a square pyramid, these triangles are congruent and isosceles. The area of each triangle is (1/2) * base * height, where the base is the side of the square base (s), and the height is the slant height (l) of the pyramid. Since there are four triangles, their combined area is 4 * (1/2 * s * l) = 2sl.
Therefore, the total surface area is the sum of the base area and the lateral surface area: SA = s² + 2sl. This calculator simplifies this process, allowing you to quickly find the surface area by inputting the base side and slant height.
Source: Wikipedia - Pyramid