# What is a Face in Math?

Instructor: Rayna Cummings

Rayna has taught Elementary Education for 12 years (in both 1st, 2nd, and 3rd grades) and holds a M.Ed in Early Childhood Education from The Ohio State University

Did you know there are faces in math? In this lesson, you will learn what a face in math means, the types of faces of math, and how to find different faces of math around you. Let's get going and learn all about faces in math!

## Definition of a Face in Math

Did you know that shapes have a face? No, I do not mean a face with two eyes, a nose, and a mouth. I mean a face of a shape, or the flat surface of a shape that you can trace and see. This face is known as a face in math.

## Plane Shapes with Faces

Plane shapes in math mean any closed, flat, two-dimensional shape. All plane shapes have a face, because you can trace the shape of all plane shapes.

Look at the picture below:

All of these shapes have faces:

A triangle has a triangle face.

A rectangle has a rectangle face.

A diamond has a diamond face.

A circle has a circle face.

A square has a square face.

An oval has an oval face.

Now take a minute and find some shapes around your house that have plane shapes you can trace to show you the face.

For example, you may have found a dinner plate you eat on. If you traced the shape of the dinner plate, you would see that it has a circle face.

## Solid Shapes with Faces

Solid shapes in math mean any object that is three-dimensional with a width, height, and depth. To get the face of a solid shape, you would need to trace the flat side of the solid shape. All plane shapes have faces, but not all solid shapes have a face. Actually, some solid shapes have more than one face, or don't even have a face at all.

Look at the picture below:

As you can see with the picture:

A pyramid has four triangle faces and one square face.

A sphere (or a ball shape) has no faces.

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