Pyramid

A pyramid is a three-dimensional geometric shape that has a polygon as its base and triangular faces that converge at a single point called the apex.

Types of Pyramids

There are different types of pyramids based on the shape of their base:

Triangular Pyramid: has a triangular base
Square Pyramid: has a square base
Pentagonal Pyramid: has a pentagonal base

Formulas

Here are some important formulas related to pyramids:

Surface Area of a Pyramid: SA = B + (1/2)Pl, where B is the base area, P is the perimeter of the base, and l is the slant height
Volume of a Pyramid: V = (1/3)Bh, where B is the base area and h is the height from the base to the apex

Real-Life Examples

Pyramids can be found in various architectural structures such as the Egyptian pyramids, the Louvre Pyramid in Paris, and modern skyscrapers with pyramid-shaped roofs.

◂Math Worksheets and Study Guides Third Grade. Solids and Faces

The resources above cover the following skills:

Geometry (NCTM)

Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships.

Identify, compare, and analyze attributes of two- and three-dimensional shapes and develop vocabulary to describe the attributes.

Classify two- and three-dimensional shapes according to their properties and develop definitions of classes of shapes such as triangles and pyramids.

Use visualization, spatial reasoning, and geometric modeling to solve problems.

Recognize geometric ideas and relationships and apply them to other disciplines and to problems that arise in the classroom or in everyday life.