In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

[Q]: 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']
[A]: e


[Q]: Problem: a rectangular room has the rectangular shaped rug shown as above figure such that the rug ’ s area is 220 square feet and its length is 12 feet longer than its width . if the uniform width between the rug and room is 12 feet , what is the area of the region uncovered by the rug ( shaded region ) , in square feet ? 
Options: a ) 32 , b ) 1136 , c ) 40 , d ) 1344 , e ) 104
[A]: d


[Q]: Problem: the diagonals of a rhombus are 15 cm and 21 cm . find its area ? 
Options: a ) 277 , b ) 266 , c ) 150 , d ) 288 , e ) 157.5
[A]:
e