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RR.1 Identify three-dimensional shapes

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What are three-dimensional shapes?

Three-dimensional shapes (also called 3D shapes) are solid figures that have length, width, and height. They are not flat like two-dimensional shapes.

Examples of 3D shapes:
  • Cube
  • Sphere
  • Cylinder
  • Cone
  • Rectangular Prism
  • Pyramid
Note

You can hold a three-dimensional shape in your hand because it takes up space.

How to identify three-dimensional shapes

To identify a three-dimensional shape, look for its faces (flat surfaces), edges (where two faces meet), and vertices (corners).

Steps:
  • A cube has 6 square faces, 12 edges, and 8 vertices.
  • A sphere has no flat faces, no edges, and no vertices.
  • A cylinder has 2 circle faces, 1 curved surface, and no vertices.
Note

When you count faces, edges, or vertices, touch each part of the shape to make sure you don’t miss any.

Common three-dimensional shapes you should know

Here are the most common three-dimensional shapes you will see in math and the real world:

Shape List:
  • Cube β†’ like dice or a building block
  • Sphere β†’ like a basketball
  • Cylinder β†’ like a soup can
  • Cone β†’ like an ice cream cone
  • Rectangular Prism β†’ like a cereal box
  • Pyramid β†’ like the Great Pyramid in Egypt
Note

Every shape has unique features. For example, a cube and a rectangular prism both have 6 faces, but the cube’s faces are all squares.

Using three-dimensional shapes in the real world

You can find three-dimensional shapes all around you. Recognizing them helps you connect math to everyday life.

Examples:
  • β€œA soccer ball is a sphere.”
  • β€œA refrigerator is a rectangular prism.”
  • β€œA party hat is a cone.”
  • β€œA can of soda is a cylinder.”
Note

Look around your classroom, home, or playground. You will see that three-dimensional shapes are everywhere.