In this task, you need to answer the given multiple-choice question on geometry. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.
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Question: Problem: if the ratio of the areas of two squares is 225 : 256 , then the ratio of their perimeters is : 
Options: ['a ) 15 : 12', 'b ) 15 : 14', 'c ) 15 : 16', 'd ) 15 : 22', 'e ) none of these']

Answer: c


Question: 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']

Answer: e


Question: Problem: the surface area of a sphere is 4 π r ^ 2 , where r is the radius of the sphere . if the surface area of sphere a is eight times as large as the surface area of sphere b , then the radius of sphere a is how many times the radius of sphere b ? 
Options: ['a ) 2', 'b ) 2 √ 2', 'c ) 4', 'd ) 2 π', 'e ) π · √ 8']

Answer:
b