Prisms and cylinders [GM4.3 Core Plenary] How many cuboids can you find whose volume is the same number as its surface area? (E.g. 6 cm by 6 cm by 6 cm.) All side lengths are in cm. Don’t try side lengths above 10 cm. All side lengths are whole numbers. Preamble An accessible activity based on systematically working out the surface areas of cuboids built up from different configurations of cubes. Possible content Surface area and volume of cuboids; elements of trial and improvement and working systematically. Resources None (pupils should be secure enough with volume not to need concrete materials). Solution/Notes The cube sizes are (in cm) 4 × 8 × 8 and 5 × 5 × 10 . Original Material © Cambridge University Press 2010 Original Material © Cambridge University Press 2010