GCSE Mathematics (9-1)

17.1 Properties of 2D and 3D shapes — Practise with help

Attempt each item before opening its help. Recall ideas from earlier chapters first.

Warm-up: remember

Answer these from memory. Do not look back at the section.

  1. How many faces and vertices does a cuboid have?
  2. How many sides does a hexagon have?
Check the warm-up
  1. 6 faces and 8 vertices.
  2. 6 sides.

If an answer differs, sketch the shape and count its faces, vertices and sides again.

Try these with help

1. A triangular prism has two triangular ends. Name its other faces.

Hint

A prism has one rectangular face for each side of its end shape.

Next step

The triangular end has three sides.

Full answer

It has three rectangular faces.

2. A cube has square faces. State its number of edges and vertices.

Hint

Count the joins and corners.

Next step

A cube has 12 edges and 8 vertices.

Full answer

12 edges and 8 vertices.

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