Surface Area and Volume

Painted Cube

Stage: 3 Challenge Level: Challenge Level:1

Exploring a variety of painted cubes may produce patterns which students can describe spatially, numerically and algebraically.

Cuboid Challenge

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

This problem offers opportunities for visualising, and for consolidating the formula for working out the volume of a cuboid.

Changing Areas, Changing Volumes

Stage: 4 Challenge Level: Challenge Level:1

Working on this problem will give students a deeper understanding of the relationship between volume and surface area, and how they change as the dimensions of a cuboid are altered.

The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities can be found here.
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NRICH is part of the family of activities in the Millennium Mathematics Project.