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

Problem: what is the area of a square field whose diagonal of length 16 m ? 
Options: a ) 128 , b ) 289 , c ) 200 , d ) 112 , e ) 178
a

Problem: what is the smallest positive integer x , such that 1152 x is a perfect cube ? 
Options: a ) 4 , b ) 6 , c ) 8 , d ) 12 , e ) 18
d

Problem: cubes with each side one inch long are glued together to form a larger cube . the larger cube ' s face is painted with red color and the entire assembly is taken apart . 22 small cubes are found with no paints on them . how many of unit cubes have at least one face that is painted red ? 
Options: a ) 64 , b ) 72 , c ) 86 , d ) 98 , e ) 103

e