document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1177186>Question 1177186</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For a school project, a student wants to build a replica of the great pyramid of giza out of modelling clay. The real Great Pyramid has a square base with side length of 750 feet and a height of 500 feet. If the student has 162 cubic inches of clay for her model, what height will her pyramid be in inches?<BR>\n" );
document.write( "V= 1/3(L*W*H) </SPAN>\n" );
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document.write( "(1) Determine the volume of the pyramid.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V+=+%281%2F3%29LWH+=+%281%2F3%29%28750%29%28750%29%28500%29+=+93750000 ALIGN=MIDDLE  ALT=\"V+=+%281%2F3%29LWH+=+%281%2F3%29%28750%29%28750%29%28500%29+=+93750000\"   DISABLED_style= \"max-width:90%; height:auto;\" > (cubic feet)<br><BR>\n" );
document.write( "(2) Determine the ratio of the volume of the pyramid to the volume of clay.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=93750000%2F126 ALIGN=MIDDLE  ALT=\"93750000%2F126\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 744047 (cubic feet/cubic inch)<br><BR>\n" );
document.write( "(3) The scale factor is the cube root of the ratio of the volumes.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=744047%5E%281%2F3%29 ALIGN=MIDDLE  ALT=\"744047%5E%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 90.615 to 3 decimal places<br><BR>\n" );
document.write( "Determine the height of the model.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=500%2F90.615 ALIGN=MIDDLE  ALT=\"500%2F90.615\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 5.518 inches to 3 decimal places<br><BR>\n" );
document.write( "ANSWER: approximately 5.518 inches<br><BR>\n" );
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