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2D 3D Shape Properties

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2D 3D Shape Properties

A community garden needs a sign and a small storage shelter. Use the shape information and diagrams to solve the design challenges. For 3D shapes, count faces, edges and vertices; curved surfaces are not flat faces.

Plan the garden sign

Polygons are closed 2D shapes made from straight line segments.

1.Mere is choosing a shape for a sign. Which shape has 6 sides and 6 vertices?
  • Pentagon
  • Hexagon
  • Octagon
  • Decagon
2.The sign is a rectangle measuring 80 cm by 50 cm. State how many pairs of parallel sides it has, and how many right angles.
3.A square is also a rectangle. Explain why this is true, and name one extra property a square has compared with a general rectangle.

Choose the shelter shape

Use the model cards to compare possible structures for storing garden tools.

Cube 6 square faces 12 edges 8 vertices

Triangular prism 5 flat faces: 2 triangles and 3 rectangles 9 edges 6 vertices

Square-based pyramid 5 flat faces: 1 square and 4 triangles 8 edges 5 vertices

4.Which model has two identical, parallel triangular faces? Name the shape and state how many rectangular faces join those triangles.
5.Which model has a square base and four triangular faces that meet at one vertex? Give the number of faces and vertices.
6.A student says, “A cylinder has 3 faces, 2 edges and 0 vertices.” Using the convention that only flat surfaces count as faces, identify the error and give the correct counts for flat faces, curved surfaces, edges and vertices.

Build and transform

A net is a flat arrangement that can be folded to make a 3D shape. A reflection, translation or rotation changes a shape's position or orientation, but not its side lengths or angle sizes.

7.Sketch a possible cube net in the box. Your net must use six equal squares joined edge to edge. Add a small X to the square that will be the base when folded.
8.A triangular garden tile is reflected, then rotated. Tick every property that must stay the same after these transformations.
  • Side lengths
  • Angle sizes
  • Position on the page
  • Orientation
  • Number of sides
9.A triangular tile is turned one quarter-turn clockwise. How many degrees is this turn? Does the tile's size change?

2 printable pages

  • 2D 3D Shape Properties, page 1 of 2: Plan the garden sign, Choose the shelter shape

    Page 1

  • 2D 3D Shape Properties, page 2 of 2: Build and transform

    Page 2

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