document.write( "Question 238729: Twenty-seven congruent cubes are glued together to form a larger cube. All six faces of the larger cube are painted pink. What is the product of the number of small cubes that have a single pink face and the number of small cubes that have three pink faces? \n" ); document.write( "

Algebra.Com's Answer #175405 by JimboP1977(311) $\"\"$ $\"About$

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The way I would attack this problem is to actually draw the cube which comprises of 3 layers of 9 small cubes all together.\r
\n" ); document.write( "\n" ); document.write( "Then looking at the cube you can count the small cubes that have a one face painted and those that have three.\r
\n" ); document.write( "\n" ); document.write( "Looking at the larger cube you can see that the the middle smaller cube of each face of the larger cube has one face coloured. So that is 6 small cubes with 1 face.\r
\n" ); document.write( "\n" ); document.write( "The small cubes with three faces coloured are the corner ones of the larger face. So that is 8 cubes.\r
\n" ); document.write( "\n" ); document.write( "So the answer is 6*8 = 48.\r
\n" ); document.write( "\n" ); document.write( "There may be a more mathematical way of doing this that other tutors can elabourate on...\r
\n" ); document.write( "\n" ); document.write( "Does this help? \n" ); document.write( "

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