MARS: geometry: volume and surface area

This collection features resources on the topic of volume and surface area.

The resources feature:

  • Concept development lessons that focus on developing conceptual understanding of significant mathematical ideas.
  • Problem solving lessons that focus on the application of previously learned mathematics to non-routine unstructured problems.
  • Tasks that provide mathematically rich problems that come with work for students to peer assess.

The Mathematics Assessment Resource Service (MARS) is a collaboration between the University of California at Berkeley and the Shell Centre team at the University of Nottingham, with support from the Bill and Melinda Gates Foundation. The team is known around the world for its innovative work in maths education.

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Best-size cans

This task is designed to assess how well students understand calculating the volume and surface area of a cylinder.

The task involves finding the height and radius of a cylindrical can which holds 200 cm3 of liquid and uses the smallest amount of aluminium.

This task is from the Mathematics...

Propane tanks

This task is designed to assess how well students understand:

  • Calculating the volume of a cylinder
  • Calculating the volume of a hemisphere

The task looks at designing a Propane tank. The tanks are made in the shape of a cylinder, with a hemisphere at each end. The cylindrical part...

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