document.write( "Question 1155822: Cube A is inscribed in sphere B, which is inscribed in cube C. If the sides of cube A have length 4, what is the volume of cube C? \n" ); document.write( "
Algebra.Com's Answer #778495 by ikleyn(52851)\"\" \"About 
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document.write( "If cube A is inscribed in sphere B, then the diameter of the sphere B is the length \r\n" );
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document.write( "of the longest 3D-diagonal of the cube  \"sqrt%284%5E2+%2B+4%5E2+%2B+4%5E2%29\" = \"4%2Asqrt%283%29\".\r\n" );
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document.write( "Since the sphere B is inscribed in cube C, the measure of the cube C edge is  \"4%2Asqrt%283%29\".\r\n" );
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document.write( "Hence, the volume of the cube C is  \"%284%2Asqrt%283%29%29%5E3\" = \"4%5E3%2A3%28sqrt%283%29%29\" = \"64%2A3%2Asqrt%283%29\" = \"192%2Asqrt%283%29\".    ANSWER\r\n" );
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