Same volume, different area
Compare packaging designs using equal capacity.
Try it
Compare a 1 × 2 × 12 box with a 2 × 3 × 4 box. Both hold 24 cubic units.
Check your reasoning
Their areas are 76 and 52 square units. Discuss which would use less card before tabs.
Show your working
The narrow box has pairs of faces with areas 2, 12 and 24. The compact box has areas 6, 8 and 12. Doubling and summing gives 76 and 52. The difference is 24 square units before allowance for tabs.