document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1198303>Question 1198303</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many inches long is the altitude of a regular triangular pyramid the base is 12 inches on a side and its volume is 103.8 cubic inches. Round off the answer to the nearest integer. </SPAN>\n" );
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document.write( "Volume of a pyramid: one-third area of base, times height (altitude).<br><BR>\n" );
document.write( "The base is an equilateral triangle with side length 12.  A quick formula for the area of an equilateral triangle with side length s is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28s%5E2%2Asqrt%283%29%29%2F4 ALIGN=MIDDLE  ALT=\"%28s%5E2%2Asqrt%283%29%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  So<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=103.8+=+%281%2F3%29%28%2812%5E2%2Asqrt%283%29%29%2F4%29%28h%29+=+%2812%2Asqrt%283%29%29%28h%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=103.8%2F%2812%2Asqrt%283%29%29+=+5 ALIGN=MIDDLE  ALT=\"h=103.8%2F%2812%2Asqrt%283%29%29+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The result of the actual calculation to 3 decimal places is 4.994; we can assume that the actual height is 5 inches and the given volume of 103.8 cubic inches is approximate.<br><BR>\n" );
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