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: a wooden cube whose edge length is 8 inches is composed of smaller cubes with edge lengths of one inch . the outside surface of the large cube is painted red and then it is split up into its smaller cubes . if one cube is randomly selected from the small cubes , what is the probability that the cube will have at least one red face ? 
Options: a ) 46.3 % , b ) 50.4 % , c ) 54.2 % , d ) 57.8 % , e ) 61.3 %
d

Problem: the length of a rectangular plot is 10 mtr more than its width . the cost of fencing the plot along its perimeter at the rate of rs . 6.5 mtr is rs . 1950 . the perimeter of the plot is ? 
Options: ['a ) 126', 'b ) 156', 'c ) 190', 'd ) 300', 'e ) 260']
d

Problem: the sides of a triangle are in the ratio 5 : 12 : 13 and its perimeter is 420 m , its area is ? 
Options: a ) 150 , b ) 882 , c ) 277 , d ) 210 , e ) 281

d