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.