document.write( "Question 1178047: Find the total area and volume of a cube whose face diagonal is 8 ¼ inches? \n" ); document.write( "

Algebra.Com's Answer #807219 by MathLover1(20850) $\"\"$ $\"About$

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$\"cube\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"a\"$ = side lengths
\n" ); document.write( " $\"f\"$ = face diagonal
\n" ); document.write( " $\"d\"$ = solid diagonal
\n" ); document.write( " $\"S\"$ = surface area
\n" ); document.write( " $\"V\"$ = volume\r
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\n" ); document.write( "\n" ); document.write( "Volume of a cube:\r
\n" ); document.write( "\n" ); document.write( " $\"V+=+a%5E3\"$ \r
\n" ); document.write( "\n" ); document.write( "given face diagonal $\"f=8%261%2F4=8.25\"$ \r
\n" ); document.write( "\n" ); document.write( "side $\"a\"$ length:\r
\n" ); document.write( "\n" ); document.write( " $\"2a%5E2=8.25%5E2\"$
\n" ); document.write( " $\"2a%5E2=68.0625\"$
\n" ); document.write( " $\"a%5E2=68.0625%2F2\"$
\n" ); document.write( " $\"a%5E2=34.03125\"$
\n" ); document.write( " $\"a=sqrt%2834.03125%29\"$
\n" ); document.write( " $\"a=5.833630944789017\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"V+=+%285.833630944789017%29%5E3\"$
\n" ); document.write( " $\"V+=+198.52575308985124\"$ \r
\n" ); document.write( "\n" ); document.write( "Answer:\r
\n" ); document.write( "\n" ); document.write( " $\"V+=+198.525753in%5E3\"$
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