# Regular square pyramid calculator

# 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:**

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