Question

A sealed rectangle or box measuring 8×6*18 contains 864 sugar cubes each measuring 1×1×1. How many sugar cubes are touching the box

Answer 1

Since the rectangular box is sealed; the cubes touch the 6 sides of the cuboid.

Total number of cubes that touches the inner surfaces of the box are:

2(18 × 8) + 2(8 × 6) + 2(18 × 6)

288 + 96 + 216 =  600 cubes.