instruction:
In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.
question:
Problem: we need to carve out 125 identical cubes from a cube . what is the minimum number of cuts needed ? 
Options: ['a ) 8', 'b ) 9', 'c ) 10', 'd ) 11', 'e ) 12']
answer:
e


question:
Problem: a 10 - meter long wire is cut into two pieces . if the longer piece is then used to form a perimeter of a square , what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point ? 
Options: a ) 2 / 3 , b ) 3 / 4 , c ) 1 / 5 , d ) 2 / 5 , e ) 3 / 5
answer:
d


question:
Problem: how many internal diagonals does a pentagon ( five sided polygon ) have ? 
Options: a ) 5 , b ) 8 , c ) 9 , d ) 10 , e ) 12
answer:

a