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: danny is sitting on a rectangular box . the area of the front face of the box is half the area of the top face , and the area of the top face is 1.5 times the area of the side face . if the volume of the box is 192 , what is the area of the side face of the box ? 
Options: a ) 13 , b ) 16 , c ) 18 , d ) 29 , e ) 32

A: e
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Q: Problem: the ratio between the perimeter and the width of a rectangle is 5 : 1 . if the area of the rectangle is 96 square centimeters , what is the length of the rectangle in centimeters ? 
Options: a ) 11 , b ) 12 , c ) 13 , d ) 14 , e ) 15

A: b
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Q: Problem: a wooden cube whose edge length is 9 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 ) 52.9 % , b ) 55.4 % , c ) 58.3 % , d ) 61.7 % , e ) 64.5 %

A:
a
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