2. Let s be an integer greater than 6. A solid cube of side s has a square
in rough first, and then write up your best attempt.
hole of side x < 6 drilled directly through from one face to the opposite
Do not hand in rough work.
face (so the drill removes a cuboid). The volume of the remaining solid
is numerically equal to the total surface area of the remaining solid.
• One complete solution will gain more credit than
several unfinished attempts. It is more important
Determine all possible integer values of x.
to complete a small number of questions than to
try all the problems.
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