Math question from real sat

[The_Fed]

<p>A large cube is assembled by gluing together identical unpainted small cubic blocks. All six faces on the large cubic block are then painted red. If exactly 27 of the small cubic blocks that make up the large cube have no paint, how many small cubic blocks make up the large cube?</p>

[jubilant]

<p>This has been asked before. Could’ve just searched</p>

<p><a href=“http://talk.collegeconfidential.com/sat-preparation/755294-collegeboard-online-hard-math-problem.html?highlight=small+cubic+blocks+make+large+cube+paint[/url]”>http://talk.collegeconfidential.com/sat-preparation/755294-collegeboard-online-hard-math-problem.html?highlight=small+cubic+blocks+make+large+cube+paint&lt;/a&gt;&lt;/p&gt;