A square pyramid is a three-dimensional figure with a square base and four triangular faces that meet at a common vertex, called the apex.

Base: The base of a square pyramid is a square.
Height: The height of a square pyramid is the perpendicular distance from the base to the apex.
Slant Height: The slant height is the distance from the apex to the midpoint of an edge of the base.
Surface Area: The surface area of a square pyramid can be found using the formula: Surface Area = base area + (0.5 × perimeter of base × slant height)
Volume: The volume of a square pyramid can be found using the formula: Volume = (1/3) × base area × height

When working with square pyramids, it's important to understand the relationship between the base, height, slant height, surface area, and volume. Here are some key points to remember:

Identify the base and apex of the square pyramid.
Calculate the base area by finding the area of the square base using the formula Area = side length × side length.
Find the slant height using the Pythagorean theorem: slant height = √(height^2 + (0.5 × side length)^2).
Use the given information to calculate the surface area and volume of the square pyramid.
Don't forget to include the appropriate units when reporting your final answers.