document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=190365>Question 190365</A>: <I><SPAN STYLE=\"word-break: break-all;\"> # 3.   Bob wants to have concrete driveway in front of his house. The driveway will measure 58 2/3 feet long and 18 1/2 feet wide; and will be 3/4 foot thick. How many cubic yards of cement will be needed for the driveway? Round your answer to the nearest cubic yard.  [1 cubic yd = 27 cubic feet]\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #142870 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=142870\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> # 3 \r<BR>\n" );
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document.write( "Q: <font color=red>Bob wants to have concrete driveway in front of his house. The driveway will measure 58 2/3 feet long and 18 1/2 feet wide; and will be 3/4 foot thick. How many cubic yards of cement will be needed for the driveway? Round your answer to the nearest cubic yard.  [1 cubic yd = 27 cubic feet]</font>\r<BR>\n" );
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document.write( "A: \r<BR>\n" );
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document.write( "First, we need to convert all of the mixed fractions to improper fractions.\r<BR>\n" );
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document.write( "So let's convert <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=58%262%2F3 ALIGN=MIDDLE  ALT=\"58%262%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > into an improper fraction\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=58%262%2F3 ALIGN=MIDDLE  ALT=\"58%262%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the first fraction\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=58%2B2%2F3 ALIGN=MIDDLE  ALT=\"58%2B2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the mixed fraction into a sum of the whole part and the fraction part.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=58%283%2F3%29%2B2%2F3 ALIGN=MIDDLE  ALT=\"58%283%2F3%29%2B2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply 58 by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F3 ALIGN=MIDDLE  ALT=\"3%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > (to get equal denominators)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=174%2F3%2B2%2F3 ALIGN=MIDDLE  ALT=\"174%2F3%2B2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28174%2B2%29%2F3 ALIGN=MIDDLE  ALT=\"%28174%2B2%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add the fractions\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=176%2F3 ALIGN=MIDDLE  ALT=\"176%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=58%262%2F3=176%2F3 ALIGN=MIDDLE  ALT=\"58%262%2F3=176%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "-----------------------------\r<BR>\n" );
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document.write( "Now let's convert <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%261%2F2 ALIGN=MIDDLE  ALT=\"18%261%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > into an improper fraction\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%261%2F2 ALIGN=MIDDLE  ALT=\"18%261%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the second fraction\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2B1%2F2 ALIGN=MIDDLE  ALT=\"18%2B1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the mixed fraction into a sum of the whole part and the fraction part.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%282%2F2%29%2B1%2F2 ALIGN=MIDDLE  ALT=\"18%282%2F2%29%2B1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply 18 by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F2 ALIGN=MIDDLE  ALT=\"2%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > (to get equal denominators)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36%2F2%2B1%2F2 ALIGN=MIDDLE  ALT=\"36%2F2%2B1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2836%2B1%29%2F2 ALIGN=MIDDLE  ALT=\"%2836%2B1%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add the fractions\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=37%2F2 ALIGN=MIDDLE  ALT=\"37%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%261%2F2=37%2F2 ALIGN=MIDDLE  ALT=\"18%261%2F2=37%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the length and width as improper fractions are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=176%2F3 ALIGN=MIDDLE  ALT=\"176%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=37%2F2 ALIGN=MIDDLE  ALT=\"37%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=176%2F3 ALIGN=MIDDLE  ALT=\"L=176%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=37%2F2 ALIGN=MIDDLE  ALT=\"W=37%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now remember, the volume of a rectangular block is \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=LWH ALIGN=MIDDLE  ALT=\"V=LWH\"   DISABLED_style= \"max-width:90%; height:auto;\" > where L is the length, W is the width, and H is the height\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=%28176%2F3%29%2837%2F2%29%283%2F4%29 ALIGN=MIDDLE  ALT=\"V=%28176%2F3%29%2837%2F2%29%283%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=176%2F3 ALIGN=MIDDLE  ALT=\"L=176%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=37%2F2 ALIGN=MIDDLE  ALT=\"W=37%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H=3%2F4 ALIGN=MIDDLE  ALT=\"H=3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=%28176%2A37%2A3%29%2F%283%2A2%2A4%29 ALIGN=MIDDLE  ALT=\"V=%28176%2A37%2A3%29%2F%283%2A2%2A4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions (note: just multiply the corresponding numerators and denominators)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=%2822%2A2%2A4%2A37%2A3%29%2F%283%2A2%2A4%29 ALIGN=MIDDLE  ALT=\"V=%2822%2A2%2A4%2A37%2A3%29%2F%283%2A2%2A4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=176 ALIGN=MIDDLE  ALT=\"176\"   DISABLED_style= \"max-width:90%; height:auto;\" > into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=176=88%2A2=22%2A2%2A4 ALIGN=MIDDLE  ALT=\"176=88%2A2=22%2A2%2A4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=%2822%2Across%282%29%2Across%284%29%2A37%2Across%283%29%29%2F%28cross%283%29%2Across%282%29%2Across%284%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Cancel out the common terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=22%2A37 ALIGN=MIDDLE  ALT=\"V=22%2A37\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=814 ALIGN=MIDDLE  ALT=\"V=814\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "So the volume of the concrete driveway is 814 cubic feet.\r<BR>\n" );
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document.write( "Now since we're given the equation\r<BR>\n" );
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document.write( "1 cubic yard = 27 cubic feet\r<BR>\n" );
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document.write( "we can multiply the figure 814 cubic feet by the fraction <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{1 \ \mbox{cubic yard}}{27 \ \mbox{cubic feet}}\">\r<BR>\n" );
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document.write( "So...\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left(814 \ \mbox{cubic feet}\right)\left(\frac{1 \ \mbox{cubic yard}}{27 \ \mbox{cubic feet}}\right) = \frac{814 \ \mbox{cubic yards}}{27 } \approx 30.148 \ \mbox{cubic yards}\">\r<BR>\n" );
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document.write( "Now round to the nearest whole number to get 30 cubic yards\r<BR>\n" );
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document.write( "So Bob will need 30 cubic yards of cement to build the driveway.<BR>\n" );
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