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:

Plane Shapes with Faces
Plane shapes with faces

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:

Solid Shapes
Solid shapes

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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