Properties of 3D shapes

Sample Properties of 3D shapes questions

A few of the 16 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

1. Question 11 markGrade 4-5
   How many vertices does a cube have?
   Show the worked solution

   A cube has 8 vertex/vertices. A cube and cuboid each have 8 vertices (one at each corner).
2. Question 21 markGrade 4-5
   How many vertices does a triangular prism have?
   Show the worked solution

What are the common mistakes in Properties of 3D shapes?

When a pupil makes one of these on Revision Workshop, the marking engine names the mistake and explains it, instead of just marking the answer wrong.

• Confuses the number of vertices with the number of faces of a 3D shape

  Vertices are corners (where edges meet). Don't confuse them with faces (surfaces). Count each corner once.

• Counts a shared edge between two faces of a solid more than once

  When two solids are glued together, the edges around the shared join are not doubled - they belong to both solids at once, so they're counted once, not added from both original solids.

• Forgets that faces joined together when combining solids are no longer part of the exterior surface

  The two faces that are glued together (one from each original solid) become internal and are no longer faces of the compound solid at all - they must be subtracted from the total, not just merged into one.

Quick answers about Properties of 3D shapes

How many Properties of 3D shapes practice questions are there?

There are 16 self-marking GCSE Maths questions on Properties of 3D shapes, written for AQA, Pearson, OCR across Foundation and Higher tier. Each one is marked instantly and has a full worked solution.

Do I need an account to practise Properties of 3D shapes?

No. You can start practising Properties of 3D shapes straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.