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Mathematics 11 Online
OpenStudy (anonymous):

Geometry help please

OpenStudy (anonymous):

OpenStudy (anonymous):

a^2 + √3( a^2 )

OpenStudy (anonymous):

|dw:1368121601624:dw|

OpenStudy (anonymous):

im really confused on this

OpenStudy (anonymous):

Do you know the formula for the area of a triangle?

OpenStudy (anonymous):

im looking for surface area of the pyramid

OpenStudy (anonymous):

And you don't see any triangles in the pyramid?

OpenStudy (anonymous):

im just going by the directions

OpenStudy (anonymous):

Forget the directions, listen to me. A pyramid is made of nothing but triangles. Your pyramid is made of 6 triangles and a hexagon. The hexagon itself can be split into 6 triangles. 1 triangular face of the pyramid and 1/6 of the hexagon can be laid out as I showed you in the picture. That kite shaped figure is 1/6th the area of your pyramid. Figure out its area, and that area is 1/6th the area of your pyramid.

OpenStudy (anonymous):

Now: Do you know the formula for finding the area of a triangle?

OpenStudy (anonymous):

½ × b × h b

OpenStudy (anonymous):

Sot of...you may have made a typo..it's: 1/2 * B * H

OpenStudy (anonymous):

If you look at my kite, you'll see that both triangles share the same (B)ase of 12 The big guy has a (H)eight of 11m, and the little guy has a height of 6*sqrt(3) Can you tell me the areas of these 2 triangles?

OpenStudy (anonymous):

1/2 * 12* 11 = 66

OpenStudy (anonymous):

1/2 * 12 * 6*sqt(3) = 62,4

OpenStudy (anonymous):

Correct on both!! :-) Now add them together. What is their sum?

OpenStudy (anonymous):

128.4

OpenStudy (anonymous):

Correct!! :-) No if you remember, the first thing I did was to slit the pyramid into 6 equal pieces that looked like kites. We just found the area of 1 of them. All we have to do is multiply that area by 6, and we have the total surface area of your pyramid!

OpenStudy (anonymous):

128.4 * 6 = 770.4

OpenStudy (anonymous):

Bingo!!! Now just look for that number (rounded off) in your answer list... :-)

OpenStudy (anonymous):

thank you.:)

OpenStudy (anonymous):

No problem! Glad I could help! And thank you! :-)

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