document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=83570>Question 83570</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the indicated equation for each geometric solid.<BR>\n" );
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document.write( "1.)The surface area of a cube with an edge of  x centimetres long.\r<BR>\n" );
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document.write( "I got the answer s=24x\r<BR>\n" );
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document.write( "2.)The volume of a cylinder with an height of 5 metres and a radius of x metres.\r<BR>\n" );
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document.write( "I got the answer V=&#8776;x^2*5       &#8776; is pie (3.14). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #60102 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=60102\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the equation for the surface area of a cube with an edge of x centimetres long.<BR>\n" );
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document.write( "Each face of the cube is a square that has a length of x cm for a side.  The area of a <BR>\n" );
document.write( "square is found by squaring the length of a side.  So the area of a face of this given<BR>\n" );
document.write( "cube is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Ax+=+x%5E2 ALIGN=MIDDLE  ALT=\"x%2Ax+=+x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Think about the shape of the cube. (A die is an example.) It has<BR>\n" );
document.write( "a total of 6 faces ... 4 going around it plus a top face and a bottom face.  Since there are<BR>\n" );
document.write( "6 faces and each face has an area of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the total surface area (call it S) is given<BR>\n" );
document.write( "by:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S+=+6%2Ax%5E2 ALIGN=MIDDLE  ALT=\"S+=+6%2Ax%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "and since the given dimensions for the side of a face is in centimetres, the units of the <BR>\n" );
document.write( "answer is square centimetres<BR>\n" );
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document.write( "To find the volume of a cylinder, you multiply the area of its circular base times the<BR>\n" );
document.write( "height of the cylinder.  The area (A) of a circle is given by the equation:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+pi%2AR%5E2 ALIGN=MIDDLE  ALT=\"A+=+pi%2AR%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "where R is the radius of the circle.  In this problem you are told that the radius is<BR>\n" );
document.write( "given by x, so substitute x metres for R and the equation becomes:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+pi%2Ax%5E2 ALIGN=MIDDLE  ALT=\"A+=+pi%2Ax%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Then, to find the volume (V) you multiply this area by the height (H) and you get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+A%2AH+=+pi%2Ax%5E2+%2AH ALIGN=MIDDLE  ALT=\"V+=+A%2AH+=+pi%2Ax%5E2+%2AH\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "but you are given that the height of the cylinder is 5 m. Substituting this value for <BR>\n" );
document.write( "H results in the volume equation becoming:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+pi%2Ax%5E2%2A5+=+5%2Api%2Ax%5E2 ALIGN=MIDDLE  ALT=\"V+=+pi%2Ax%5E2%2A5+=+5%2Api%2Ax%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "and since the radius and height are in metres, the units of the answer is cubic metres.<BR>\n" );
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document.write( "Hope you can track the development of each of these equations and that it helps you to <BR>\n" );
document.write( "understand the problems a little better.<BR>\n" );
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