# Regular square pyramid

A regular square pyramid is a geometric solid with a square base and four congruent triangular faces that meet at a single point called the apex. All the faces of the pyramid are identical isosceles triangles. Here’s the information needed to calculate the surface area and volume of a regular square pyramid:

• Side length of the base (l)
• Height of the pyramid (h)

Formula for Slant Height: The slant height (s) of a regular square pyramid can be calculated using the Pythagorean theorem:

s = √(l² + (h/2)²)

Formula for Surface Area: The surface area of a regular square pyramid can be calculated using the following formula:

A = l² + 2 × l × s

Formula for Volume: The volume of a regular square pyramid can be calculated using the following formula:

V = (1/3) × l² × h

Steps to Calculate Surface Area and Volume:

1. Determine the length of a side of the square base.
2. Determine the height of the pyramid.
3. Calculate the slant height of the pyramid using the formula: s = √(l² + (h/2)²)
4. Calculate the surface area of the regular square pyramid using the formula: A = l² + 2 × l × s
5. Calculate the volume of the regular square pyramid using the formula: V = (1/3) × l² × h

Note: π represents the mathematical constant pi, which is approximately equal to 3.14159.

I hope that helps you! Let me know if you have any further questions.