Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Shape and Space 9
17 practice questions
Practice questions
1–5 of 5 · Easy
Question 1
1 mark · Easy
Answer and check →In a cuboid, the length is 3 cm, the width is 4 cm, and the height is 5 cm. Work out the length of the space diagonal (the longest line from one corner to the opposite corner) to 1 decimal place.
Question 2
2 marks · Easy
Answer and see the solution →In a square-based pyramid, each base edge is 6 cm and the vertex is 8 cm vertically above the centre of the base. Calculate, to 3 significant figures, the length of the slope from a corner of the base to the vertex.
Question 3
2 marks · Easy
Answer and see the solution →Explain how to use Pythagoras’ theorem to calculate the direct distance from one corner of a cuboid to the opposite corner (the space diagonal).
Question 4
3 marks · Easy
Answer and see the solution →A triangular prism has a right-angled triangle as its cross-section with side lengths 5 cm, 12 cm and 13 cm. The prism is 8 cm long.
(a)[2 marks]Calculate the length of the diagonal joining one vertex at the base to the opposite vertex at the top, across the full length of the prism.
(b)[1 mark]Find, to 1 decimal place, the angle that this diagonal makes with the base of the prism.
Question 5
3 marks · Easy
Answer and see the solution →The table below shows the lengths (in cm) of the edges of three different cuboids.
Edge lengths of cuboids (in cm) Cuboid Length Width Height A 4 3 9 B 6 5 2 C 8 7 3 Work out the length of the longest space diagonal for each cuboid, giving your answers to 1 decimal place.