3D Pythagoras

Sample 3D Pythagoras questions

A few of the 11 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

1. Question 12 marksGrade 6-7
   A cuboid has dimensions 4 cm × 4 cm × 7 cm. Work out the length of the space diagonal (the diagonal from one corner of the cuboid to the opposite corner, passing through the inside of the solid).
   Show the worked solution

   First find the diagonal of the base: $d^2 = 4^2 + 4^2 = 16 + 16 = 32$

What are the common mistakes in 3D Pythagoras?

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.

• Applies Pythagoras' theorem directly to 3D edges without first identifying the correct right-angled cross-section

  Only combined the length and width ($\sqrt{11^2+12^2}$

Quick answers about 3D Pythagoras

How many 3D Pythagoras practice questions are there?

There are 11 self-marking GCSE and IGCSE Maths questions on 3D Pythagoras, written for AQA, Pearson, OCR, Pearson International GCSE Maths A (4MA1), Cambridge IGCSE Mathematics (0580), Cambridge IGCSE (9-1) Mathematics (0980) across Higher and Extended tier. Each one is marked instantly and has a full worked solution.

Do I need an account to practise 3D Pythagoras?

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