document.write( "Question 1191158: a large rectangular prism measuring 3 cm by 5 cm by 6 cm is painted and then divided up into small cubes measuring 1 cm to a side what is the total unpainted surface area of the small 1 cm^3 cubes? \n" ); document.write( "

Algebra.Com's Answer #822936 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "a large rectangular prism measuring 3 cm by 5 cm by 6 cm is painted and then divided up
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\n" ); document.write( "what is the total unpainted surface area of the small 1 cm^3 cubes?
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document.write( "The surface area of the large prism is  2*(3*5 + 3*6 + 5*6) = 126 cm^2.\r\n" );
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document.write( "So, the painted area is 126 cm^2.\r\n" );
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document.write( "The number of small cubes is  3*5*6 = 90.\r\n" );
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document.write( "Their total surface area is 90 times 6 cm^2, i.e. 6*90 = 540 cm^2 (since each small cube has 6 faces).\r\n" );
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document.write( "THEREFORE, unpainted area is 540 - 126 = 414 cm^2.    ANSWER\r\n" );
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