logo

Learning objective

Perform calculations and solve problems related to the surface area and volume of various shapes, including cuboids, prisms, cylinders, cones, spheres, and pyramids. Answers may be expressed in terms of π. The relevant formulas include those for the curved surface area and volume of these solids, as well as the surface area of a sphere. A prism is defined as any solid with a consistent cross-section, such as a cylindrical sector.

Read the explanation, check the common trap, then practise with flashcards and questions.

Exam focus

  • Read the explanation.
  • Check key terms.
  • Practise with linked questions.
Cambridge IGCSE MathematicsCore Mensuration

Study support

Understand this objective

Quick explanation

Perform calculations and solve problems related to the surface area and volume of various shapes, including cuboids, prisms, cylinders, cones, spheres, and pyramids. Answers may be expressed in terms of π. The relevant formulas include those for the curved surface area and volume of these solids, as well as the surface area of a sphere. A prism is defined as any solid with a consistent cross-section, such as a cylindrical sector

  • This point belongs to Surface area and volume, especially Surface area and volume outcomes.
  • You need to be able to perform calculations and solve problems related to the surface area and volume of various shapes, including cuboids, prisms, cylinders, cones, spheres, and pyramids. Answers may be expressed in terms of π. The relevant formulas include those for the curved surface area and volume of these solids, as well as the surface area of a sphere. A prism is defined as any solid with a consistent cross-section, such as a cylindrical sector.
  • The key ideas to know are Calculate, Determine, and Show.
  • Use the linked flashcards and practice questions to check recall, then practise applying the idea in an exam-style answer.

Key concepts

CalculateDetermineShowWork out

Why it matters

This objective helps connect Surface area and volume outcomes to exam-style questions, flashcards, and revision notes for Surface area and volume.

Revision tools

Choose how to practise

Back to topic hub
Flashcards10 linked cards

Flashcard 1 of 10

Press Space to flip, arrows to move
Practice Questions7 linked questions

Question 1 of 7

Choose an answer, get feedback, then move sideways through the set.

0 of 5 attempted

Paper 2 structured question: Surface area and volume

Paper 2Core or Extended Mathematics2 marks

Description

Volume of a Prism

A rectangular prism has a length of 10 cm, a width of 4 cm, and a height of 5 cm.

  1. a

    Calculate the volume of the prism.

    Aim for approximately 2 distinct marking points.

    [2]
Revision notestopic notes

Open the full topic revision notes when you are ready to review this objective in context.

Open revision notes

Related learning objectives

No linked resources are published for this section yet.

Revision hubs

Move back to a broader study route