document.write( "Question 1018071: a cutting plane is passed through a right regular hexagonal pyramid whose measure of one base edge is 8 in. if the said plane parallel to and 6 in from the base of the pyramid makes a section with an area 18.5 in².find the altitude of the pyramid \n" ); document.write( "

Algebra.Com's Answer #634284 by ikleyn(52908) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "a cutting plane is passed through a right regular hexagonal pyramid whose measure of one base edge is 8 in. if the said plane parallel to and 6 in from the base of the pyramid makes a section with an area 18.5 in².find the altitude of the pyramid
\n" ); document.write( "------------------------------------------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "The regular hexagon at the base with the side measure of 8 in has the area of 6 equilateral triangles \r\n" );
document.write( "with the side measure of 8 in, i.e S =  =  =  .\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "If the area of the section is 8.5 , then you can find the altitude H of the original pyramid from the proportion\r\n" );
document.write( "\r\n" );
document.write( " = ,\r\n" );
document.write( "\r\n" );
document.write( "where h is the height of the small (cut) pyramid, and we know that h = 8-6 = 2 in. So, your proportion is\r\n" );
document.write( "\r\n" );
document.write( " = .\r\n" );
document.write( "\r\n" );
document.write( "Please complete the calculations yourself.\r\n" );
document.write( "

\n" ); document.write( " \n" ); document.write( "

\n" );