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Mathematics 13 Online
OpenStudy (anonymous):

Diagram attached! :D Medals!

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.

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

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?

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...

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

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...

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

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

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 :)

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