document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1158208>Question 1158208</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Kevin is making a set of candles to give as a gift. The first candle is a triangular prism with a height of 17 centimeters.\r<BR>\n" );
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document.write( "The base has legs measuring 11 centimeters and 12 centimeters. The hypotenuse is about 16.3 centimeters.\r<BR>\n" );
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document.write( "Kevin makes a second candle shaped like a triangular prism, with the same height as the first candle. The base is a triangle similar to the base of the first candle, except with the shorter leg 2 centimeters longer than the shorter leg of the first candle. What are the side lengths of the base of the second candle in centimeters?\r<BR>\n" );
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document.write( "Type each measurement with a comma in between without the unit and with no period. For example: 1, 2, 3\r<BR>\n" );
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document.write( "Kevin then makes several cone-shaped candles. He uses a cone mold that has a height of 15 centimeters and a diameter of 10 centimeters. How many cubic centimeters of wax is needed to make 3 cone-shaped candles?\r<BR>\n" );
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document.write( "Only type the number.\r<BR>\n" );
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document.write( "I would appreciate if you could send me the WORK necessary as well. I have tried to answer these questions already, but as my answers were INCORRECT I am looking for help.\r<BR>\n" );
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document.write( "My previous answer to the 1st question: 13, 12, 17.7\r<BR>\n" );
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document.write( "My previous answer to the 2nd question: 392.5\r<BR>\n" );
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document.write( "This is a long passage but if anybody could explain what I got wrong as well I would really like that. Thank you so much for taking the time to answer my questions! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #781201 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=781201\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Kevin is making a set of candles to give as a gift.<BR>\n" );
document.write( " The first candle is a triangular prism with a height of 17 centimeters.<BR>\n" );
document.write( " The base has legs measuring 11 centimeters and 12 centimeters.<BR>\n" );
document.write( " The hypotenuse is about 16.3 centimeters.<BR>\n" );
document.write( "Kevin makes a second candle shaped like a triangular prism, with the same height as the first candle.<BR>\n" );
document.write( " The base is a triangle similar to the base of the first candle, except with the <BR>\n" );
document.write( " shorter leg 2 centimeters longer than the shorter leg of the first candle.<BR>\n" );
document.write( " What are the side lengths of the base of the second candle in centimeters?<BR>\n" );
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document.write( "In similar triangles, the relationship between corresponding side is the same.<BR>\n" );
document.write( "Short side: 13/11, find side b and c of the 2nd triangle<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13%2F11 ALIGN=MIDDLE  ALT=\"13%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2F12 ALIGN=MIDDLE  ALT=\"b%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cross multiply<BR>\n" );
document.write( "11b = 12*13<BR>\n" );
document.write( "b = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=156%2F11 ALIGN=MIDDLE  ALT=\"156%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b = 14.18<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13%2F11 ALIGN=MIDDLE  ALT=\"13%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%2F16.3 ALIGN=MIDDLE  ALT=\"c%2F16.3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "11c = 16.3*13<BR>\n" );
document.write( "c = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=211.9%2F11 ALIGN=MIDDLE  ALT=\"211.9%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "c = 19.26<BR>\n" );
document.write( "ans: 13, 14.18, 19.26<BR>\n" );
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document.write( "Kevin then makes several cone-shaped candles.<BR>\n" );
document.write( " He uses a cone mold that has a height of 15 centimeters and a diameter of 10 centimeters.<BR>\n" );
document.write( " How many cubic centimeters of wax is needed to make 3 cone-shaped candles?<BR>\n" );
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document.write( "The volume of a cone: V = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ar%5E2%2Ah ALIGN=MIDDLE  ALT=\"pi%2Ar%5E2%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " the radius: 10/2 = 5 cm<BR>\n" );
document.write( "V = 3*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A5%5E2%2A15 ALIGN=MIDDLE  ALT=\"pi%2A5%5E2%2A15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "V = 1178.1 for three candles (your ans was for only 1 candle)\r<BR>\n" );
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