Square Pyramid

A square pyramid is a three-dimensional shape that has a square base and four triangular faces that meet at a point called the apex or vertex.

Properties of a Square Pyramid

Here are some key properties of a square pyramid:

1. Base: The base of a square pyramid is a square.
2. Height: The height of a square pyramid is the perpendicular distance from the base to the apex.
3. Edges: A square pyramid has 8 edges, where 4 edges meet at the apex.
4. Vertices: It has 5 vertices, including the apex.
5. Surface Area: The surface area of a square pyramid can be calculated using the formula:
   Surface Area = (base area) + (1/2) * (perimeter of base) * (slant height)
6. Volume: The volume of a square pyramid can be calculated using the formula:
   Volume = (1/3) * (base area) * (height)

Study Guide

Here are some key points to remember when studying square pyramids:

• Identify the base and the apex of a square pyramid.
• Understand the relationship between the base, height, and slant height of a square pyramid.
• Practice calculating the surface area and volume using the appropriate formulas.
• Visualize the 3D shape of a square pyramid and its net (2D representation when unfolded).
• Explore real-life examples of square pyramids, such as the pyramids in Egypt or architectural structures.

By understanding the properties and formulas associated with square pyramids, you'll be well-equipped to solve problems and work with these geometric shapes.