document.write( "Question 1209469: This is a problem that uses the answer from the previous question so I will type both questions, but only need helps with the second question.\r
\n" ); document.write( "\n" ); document.write( "This is the information given: A sculptor had a block of marble in the shape of a cube with sides x feet long. a piece that was 1/2-foot thick was chiseled from the bottom of the block. Later, the sculptor removed a piece 3/4-foot wide from the side of the marble block.\r
\n" ); document.write( "\n" ); document.write( "Question #1: Write a rational expression that represents the volume of the block of marble. (Do not need help with this one)\r
\n" ); document.write( "\n" ); document.write( "Question #2: If the remaining marble was cut into pieces weighing 85 pounds each, write an expression that represents the weight of the original block of the marble.\r
\n" ); document.write( "\n" ); document.write( "Thank you very much.
\n" ); document.write( "E
\n" ); document.write( "

Algebra.Com's Answer #848897 by ikleyn(52847)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "This is a problem that uses the answer from the previous question so I will type both questions, but only need helps with the second question.\r
\n" ); document.write( "\n" ); document.write( "This is the information given: A sculptor had a block of marble in the shape of a cube with sides x feet long. a piece that was 1/2-foot thick was chiseled from the bottom of the block. Later, the sculptor removed a piece 3/4-foot wide from the side of the marble block.\r
\n" ); document.write( "\n" ); document.write( "Question #1: Write a rational expression that represents the volume of the block of marble. (Do not need help with this one)\r
\n" ); document.write( "\n" ); document.write( "Question #2: If the remaining marble was cut into pieces weighing 85 pounds each, write an expression that represents the weight of the original block of the marble.\r
\n" ); document.write( "\n" ); document.write( "Thank you very much.
\n" ); document.write( "E
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "(Q1)  I will assume that the second cut was parallel to the first cut.\r\n" );
document.write( "\r\n" );
document.write( "      Initially, the volume of the cube was x^3 cubic feet.\r\n" );
document.write( "\r\n" );
document.write( "      After first cut,  the volume of the remained part is  x^3 - \"%281%2F2%29x%5E2\"  cubic feet.\r\n" );
document.write( "\r\n" );
document.write( "      After second cut, the volume of the remained part is  \r\n" );
document.write( "\r\n" );
document.write( "            x^3 - \"%281%2F2%29x%5E2\" - \"%283%2F4%29x%5E2\" = x^3 - \"%285%2F4%29x%5E2\"  cubic feet.   <<<---===  Answer to Q1\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "(Q2)  The remaining marble was cut into pieces weighting 85 pounds each\r\n" );
document.write( "\r\n" );
document.write( "      -  hence, the weight of the whole remained part before cutting in two equal mass pieces was 2*85 = 170 pounds.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "      Now, if we want to find the weight of the original cube, we write this equation\r\n" );
document.write( "\r\n" );
document.write( "           \"d%2A%28x%5E3+-+%285%2F4%29x%5E2%29\" = 170  pounds,    (1)\r\n" );
document.write( "\r\n" );
document.write( "      where d is the density of the marble, in units  \"pound%2Fft%5E3\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "      Would the problem in the post be actual/(true) Math problem, it must provide the density of marble \"d\" in the text\r\n" );
document.write( "      as a given input value. But it does not provide, so I start doubt if it is a true Math problem.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "      At these circumstances, you should find the density of the marble \"d\" somewhere in the tables outside.\r\n" );
document.write( "\r\n" );
document.write( "      When you find it - substitute the value of the marble density \"d\" into equation (1) and solve it for x.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Happy calculations (!)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );