📦 3D Shapes

KS3 Foundation Mathematics Worksheet

🎓 Mini-Lesson: Understanding 3D Shapes

What are 3D Shapes?

3D shapes are solid shapes that have three dimensions: length, width, and height. You can hold them in your hand!

2D shapes (like squares and circles) are flat, but 3D shapes are solid.

📚 Key Vocabulary

Face: A flat surface on a 3D shape (like the side of a box)
Edge: Where two faces meet (like the corner of a table)
Vertex (Vertices): A corner where edges meet (plural: vertices)
Curved surface: A rounded surface (not flat)

🔷 Common 3D Shapes

Cube

🧊

Properties:

  • 6 faces (all squares)
  • 12 edges (all equal)
  • 8 vertices
  • All faces are identical

Example: Dice, Rubik's cube

Cuboid

📦

Properties:

  • 6 faces (all rectangles)
  • 12 edges
  • 8 vertices
  • Opposite faces are identical

Example: Box, book, brick

Sphere

⚽

Properties:

  • 1 curved surface
  • 0 edges
  • 0 vertices
  • Perfectly round

Example: Ball, planet, orange

Cylinder

🥫

Properties:

  • 3 faces (2 circles, 1 curved)
  • 2 edges
  • 0 vertices
  • Two circular ends

Example: Can, toilet roll, pipe

Cone

🍦

Properties:

  • 2 faces (1 circle, 1 curved)
  • 1 edge
  • 1 vertex (the point)
  • Circular base, pointed top

Example: Ice cream cone, party hat

Pyramid

🔺

Properties:

  • 5 faces (1 square, 4 triangles)
  • 8 edges
  • 5 vertices
  • Square base, triangular sides

Example: Egyptian pyramids

📊 Quick Reference Table

Shape Faces Edges Vertices
Cube 6 12 8
Cuboid 6 12 8
Sphere 1 (curved) 0 0
Cylinder 3 2 0
Cone 2 1 1
Pyramid 5 8 5

💡 Top Tips

  • A cube is a special type of cuboid where all edges are equal
  • Curved surfaces don't have edges or vertices
  • Count carefully - it's easy to miss faces at the back!
  • Think of real objects to help you remember

✏️ Practice Questions

Identify the 3D shapes or count their properties.