Mathematics
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OpenStudy (anonymous):
Diagram attached! :D Medals!
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OpenStudy (anonymous):
OpenStudy (anonymous):
area of a pyramid is equal to base area + 1/2 *perimeter* slant length
OpenStudy (anonymous):
Umm... is there a formula?
OpenStudy (anonymous):
base area+lateral area where lateral area=1/2*perimeter*slant length for a pyramid that all side faces are the same(like yours)
OpenStudy (anonymous):
Could you perhaps show me step by step, this problem confuses me.
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OpenStudy (anonymous):
you have slant length that is 16m(the red line)
OpenStudy (anonymous):
Yes....
OpenStudy (anonymous):
or wait..i think the side faces are not all the same
OpenStudy (anonymous):
O.o? I hate this problem, too difficult.
OpenStudy (anonymous):
ah lets start from the base area
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OpenStudy (anonymous):
...okay...
OpenStudy (anonymous):
you got and hexagon there...6 triangles
OpenStudy (anonymous):
...
OpenStudy (anonymous):
you dont see that?look at the base of the pyramid only ...isnt it an hexagon?
OpenStudy (anonymous):
=6 triangles..right?
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OpenStudy (anonymous):
idk...
OpenStudy (anonymous):
just draw the base of your pyramid and connect all the angles
OpenStudy (anonymous):
oh! yeah, 6 so...?
OpenStudy (anonymous):
yeah you got 6 triangles with each triangle area given by 1/2*base*height
OpenStudy (anonymous):
yes...
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OpenStudy (anonymous):
you got the base=10m and the height 5/[\sqrt{3}\]
OpenStudy (anonymous):
height=5\[\sqrt{3}\] right?
OpenStudy (anonymous):
do this 6 times and you ll find the base area=6*1/2*base*height
OpenStudy (anonymous):
its 259.8 ... you got this man?
OpenStudy (anonymous):
yeah, and i'm not a guy.. :P
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OpenStudy (anonymous):
ok:)
OpenStudy (anonymous):
then from the formula --->pyramid area=base area +1/2*perimeter*slant length ypou got the base area and the slant legth right?
OpenStudy (anonymous):
yes...
OpenStudy (anonymous):
the perimeter is the sum of all of all the sides of the base area
OpenStudy (anonymous):
....right...
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OpenStudy (anonymous):
what is the side of the base area?
OpenStudy (anonymous):
10m?
OpenStudy (anonymous):
correct
OpenStudy (anonymous):
the sum of all sides?
OpenStudy (anonymous):
:D yay
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OpenStudy (anonymous):
60m?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
:D
OpenStudy (anonymous):
So...
PA=259.8+1/2*60*16?
OpenStudy (anonymous):
yes...essentially you calculate 12 triangles....6 for the base area and 6 for the lateral area
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OpenStudy (anonymous):
739.8! :D is that the answer?
OpenStudy (anonymous):
that all of them are the same
OpenStudy (anonymous):
yes ...aprroximately 740
OpenStudy (anonymous):
Woohoo! thanks!
OpenStudy (anonymous):
i mean..the 6 triangles of the base area are the same and the 6 of the lateral area are the same...i hope you got that :)