Surface Area and Volume

Efficient Cutting

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

This problem offers an opportunity for students to apply their knowledge of areas and circumferences of circles, and volumes of cylinders.

Fill Me up Too

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

This problem gives students the opportunity to use volume scale factors of enlargement to work out the relationship between the volume and the height of a cone.

Gutter

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

Manufacturers need to minimise the amount of material used to make their product. What is the best cross-section for a gutter?

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.
Copyright © 1997 - 2012. University of Cambridge. All rights reserved.
NRICH is part of the family of activities in the Millennium Mathematics Project.