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

Algebra ->  Surface-area -> 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      Log On


   

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(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.

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.