SOLUTION: A cake shaped like a rectangular prism with sides of 9cm by 14cm by 15cm is completely dipped in chocolate and then cut into small 1cm^3 cubes. How many of the cubes have chocolate

Question 1151095: A cake shaped like a rectangular prism with sides of 9cm by 14cm by 15cm is completely dipped in chocolate and then cut into small 1cm^3 cubes. How many of the cubes have chocolate on just one side?
Answer by ikleyn(52788) (Show Source): You can put this solution on YOUR website!
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The answer is  


    2*(9-2)*(14-2) + 2*(9-2)*(15-2) + 2*(14-2)*(15-2) = 662.

This formula is self-explanatory.

It is based on consideration of the surface area of the prismatic solid.

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