document.write( "Question 872078: Hello I have a question about surface area. The problem has a picture of a hexagonal pyramid with a slant height of 12cm and a side length of 4cm. The question says to find the surface area. I have used the formula, Google, and my parents but no one gets any of the answer options. It is A.144cm B.144+24 radical 3cm C.196cm and D.288cm. I would love some additional help! \n" ); document.write( "

Algebra.Com's Answer #525932 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Each triangle has a height of 12 and a base of 4.
\n" ); document.write( "The area of each triangle is $\"A=%281%2F2%29bh=%281%2F2%29%284%29%2812%29=24\"$
\n" ); document.write( "There are 6 triangles.
\n" ); document.write( "So then,
\n" ); document.write( " $\"SA=6%2824%29=144\"$ $\"cm%5E2\"$ That's answer a).
\n" ); document.write( "I'm assuming you don't include the area of the hexagonal base (?).
\n" ); document.write( "The hexagonal base would add $\"A%5Bhex%5D=%283%2F2%29sqrt%283%29%2A%284%29%5E2=24%2Asqrt%283%29\"$
\n" ); document.write( " $\"SA=144%2B24%2Asqsrt%283%29\"$
\n" ); document.write( "But if you add that you'll get answer b).
\n" ); document.write( "So I guess you need to make the choice.
\n" ); document.write( " \n" ); document.write( "

\n" );