Problema Solution
A sealed rectangular box measuring 8x6x18 contains 864 sugar cubes, each measuring 1x1x1. How many sugar cubes are touching the box?
Answer provided by our tutors
8 wide x 6 high x 18 long
Top & bottom = 18x8 = 144x2 = 288
Long sides = 18x(6-2) = 72x2 = 144 (6-2 since the top and bottom edges already counted)
Ends = (8-2)x(6-2) = 24x2 = 48 (8-2 and 6-2 since both times all 4 edges are already counted)
288 + 144 + 48 = 480 cubes
480 sugar cubes are touching the box.