MYP 1 Mathematics · Geometry

3D shapes — naming, nets and building

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What Are 3D Shapes?

You already know about 2D shapes like squares, triangles, and circles — these are flat shapes that live on a piece of paper. But the real world isn't flat! Almost everything you can touch and hold is a 3D (three-dimensional) shape.

3D Shape

A shape that has three dimensions: length, width, and height (or depth). 3D shapes take up space and have volume.

2D Shape

A flat shape that has only two dimensions: length and width. It has no thickness or depth.

Analogy

Think of the difference like this: a photograph of a box is 2D — it's flat on paper. But the actual box sitting on your desk is 3D — you can pick it up, look inside it, and feel all its sides.

3D shapes are everywhere around you: a dice is a cube, a can of soda is a cylinder, a ball is a sphere, and a birthday party hat is a cone. Learning to name and describe these shapes helps us understand and communicate about the world around us.

Key Vocabulary for 3D Shapes

Before we name 3D shapes, we need to learn the vocabulary used to describe their parts:

Face

A flat surface on a 3D shape. For example, a cube has 6 faces, each one a square.

Edge

The line where two faces meet. A cube has 12 edges.

Vertex (plural: Vertices)

A point or corner where edges meet. A cube has 8 vertices.

Polyhedron (plural: Polyhedra)

A 3D shape where all the faces are flat polygons (like triangles, squares, or pentagons). Examples: cubes, pyramids, prisms.

Exam Tip

To remember these terms, pick up any box and trace your finger along an edge, tap a vertex (corner), and place your palm flat on a face. Physical touch helps lock in the vocabulary!

Not all 3D shapes are polyhedra. Shapes like spheres, cylinders, and cones have curved surfaces, so they are not polyhedra.

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