A cuboid has dimensions 3 cm by 4 cm by 5 cm. What is its volume?
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Practise IGCSE 0580 questions in the style of recent Extended past papers, organised by syllabus subtopic. Each set comes with an examiner-style mark scheme and a downloadable worksheet.
Everything students ask about Cambridge IGCSE 0580 Surface area and volume Topical Past Papers.
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These Surface area and volume Topical Past Paper Questions are written in the style of recent Cambridge IGCSE Mathematics 0580 Extended papers and grouped by the Mensuration (E5.4) section of the 2025–2027 syllabus. Use them to revise the exact skills examiners test in this part of the course.
Each question is graded Easy → Medium → Hard, plus an A★ Challenge for top-grade preparation. Tap a question to mark your own answer, then unlock the examiner-style mark scheme with model solutions and examiner tips. A printable Topical Past Papers worksheet is included so you can practise offline.
Calculate the surface area and volume of cuboids, prisms and cylinders. At Extended, also work with spheres, pyramids and cones.
A cuboid has dimensions 3 cm by 4 cm by 5 cm. What is its volume?
A cube has edge length 4 cm. Find its total surface area.
[1 mark]A cylinder has radius 3 cm and height 10 cm. Find its volume in terms of pi.
[2 marks]A triangular prism has a triangular cross-section with base 6 cm and perpendicular height 4 cm. The prism is 12 cm long. Find its volume.
[2 marks]Which formula gives the volume of a sphere of radius r?
A solid cone has radius 6 cm and slant height 10 cm.
Find the perpendicular height of the cone.
[1 mark]Find the volume of the cone, in terms of pi.
[2 marks]A sphere has radius 5 cm. Find its volume, in terms of pi.
[2 marks]A solid is made by attaching a hemisphere of radius 3 cm to the top of a cylinder with the same radius and a height of 7 cm. Find the total volume of the solid, in terms of pi.
[2 marks]