A block of cheese in the shape of a rectangular cuboid measures 10 cm x 13 cm x 14 cm. Ten slices are cut from the cheese. Each slice has a width of 1 cm and is cut parallel to one face of the cheese.

Determine the maximum possible volume in cubic cm of the remaining block of cheese after ten slices have been cut off.

The best volume for a given total of dimensions is a cube. We need to take 10 units (cm) off the total dimensions of the cuboid, so it can be 1 unit off the 10, 4 units off the 13 and 5 off the 14, for a 9x9x9 cube, with volume of 9^3 =  729.

Posted by Charlie on 2016-02-23 11:20:35