LET S BE AN INTEGER GREATER THAN 6. A SOLID CUBE OF SIDE S HAS A SQ...

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.