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: a certain cube floating in a bucket of water has between 75 and 85 percent of its volume below the surface of the water . if between 9 and 16 cubic centimeters of the cube ' s volume is above the surface of the water , then the length of a side of the cube is approximately
Options: ['a ) 4', 'b ) 5', 'c ) 7', 'd ) 8', 'e ) 9']
[A]: a

[Q]: Problem: what is the maximum number t of 27 cubic centimetre cubes that can fit in a rectangular box measuring 8 centimetre x 9 centimetre x 12 centimetre ?
Options: ['a ) 36', 'b ) 32', 'c ) 24', 'd ) 21', 'e ) 15']
[A]: c

[Q]: Problem: a square carpet with an area 169 m 2 must have 2 metres cut - off one of its edges in order to be a perfect fit for a rectangular room . what is the area of rectangular room ?
Options: ['a ) 180 m 2', 'b ) 164 m 2', 'c ) 152 m 2', 'd ) 143 m 2', 'e ) none of these']
[A]:
d