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A cube of side 3 inches has a cube of side 1 inch cut from each corner. A cube of side 2 inches is then inserted in each corner. What is the number of square inches in the surface area of the resulting solid?

 May 30, 2018
 #1
avatar+644 
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198 is your answer

 May 31, 2018
 #2
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Original surface area = 3 x 3 * 6 = 54 in^2

Remove 8 x 3 in^2 = 24 in^2       

add   the 2 inch cubes   surface area   2x 2 x 6  x8 = 192 in ^2

             less the surface area covered by putting in the corners  3 x 8 = 24 in^2

 

 

54 -24 + 192 - 24 = 198 in^2

 May 31, 2018
edited by Guest  May 31, 2018

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