document.write( "Question 608260: Mr.Algebra baked a cake for the Midwest Mathematics Convention. He designed the cake in the shape of a big cube. As he was carrying the cake over to frost it, he dropped it in the vat of frosting. Amazingly, athe cake stayed in one piece, but all 6 sides were frosted. One mathematic suggested the cake be cut into cube shaped pieces, all the same size. That way, some people could have a piece with no frosting, 1 side frosted, 2 sides frosted, or 3 sides frosted. Another mathematician suggested, \"Cut the cake so that the number of pieces with no frosting is eight times more than the number of pieces with 3 sides frosted. Then you will have the exact number of pieces of cake as there are mathemeticians in this room.\" Find out how many mathematicians were at the convention. \n" ); document.write( "

Algebra.Com's Answer #383130 by solver91311(24713) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "There are 8 corners on the cube, hence 8 pieces of cake with 3 sides frosted. That means 64 pieces with no frosting, forming an inner cube that is 4 X 4 X 4. Hence the outer cube, the one with all the frosting, is 6 X 6 X 6.\r
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\n" ); document.write( "\n" ); document.write( "John
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\n" ); document.write( "My calculator said it, I believe it, that settles it
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