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Mathematics 16 Online
OpenStudy (anonymous):

Can someone help me with Surface area of pyramids and cones

OpenStudy (anonymous):

Find the slant height of the regular pyramid or cone

OpenStudy (anonymous):

Do you know what pathagorean therom is?

OpenStudy (anonymous):

yeah isnt it a^2+b^2=c^2

OpenStudy (anonymous):

Ok so find the length of the hypotenuse of the pyramid (for the first one)

OpenStudy (anonymous):

so 12^2+15^2=369

OpenStudy (anonymous):

369=c^2 you still need to get rid of that exponent.. so you get \[3\sqrt{41}\]. Now that you have all the lengths apply the forumla for area of a triangle. Area = 1/2 * base * height

OpenStudy (anonymous):

Because you have 4 triangles you could change your forumla to reflect that A=4(1/2*b*h)

OpenStudy (anonymous):

Then don't forget the add the area of the base of the pyramid itself... width * height. Add them both up, and that's surface area.

OpenStudy (anonymous):

Get it?

OpenStudy (anonymous):

so 4(1/2*144*15)

OpenStudy (anonymous):

Take the area of one of the isosceles triangles, multiply it by 4 and add it to the area of the base. Forget that 1/2 B*H I messed up

OpenStudy (anonymous):

know im lost

OpenStudy (anonymous):

Do you see the forumla for the area of an isocoles triangle I sent you?

OpenStudy (anonymous):

ya

OpenStudy (anonymous):

Ok so do you see how each side of the pyramid is an isocles triangle?

OpenStudy (anonymous):

ya

OpenStudy (anonymous):

Ok so on the forumla you know that B=12, and C and A are the same and using pythagorean theorm we know it is \[3\sqrt{41}\] So plug all those into the forumla and you will have the area of ONE side of the pyramid.

OpenStudy (anonymous):

82.486362509205

OpenStudy (anonymous):

I'm going to take your word on that... lol. Now what do you think you do?

OpenStudy (anonymous):

* it by 4

OpenStudy (anonymous):

right, and then add what?

OpenStudy (anonymous):

the base of 144

OpenStudy (anonymous):

There you go, that's the surface of a pyramid.

OpenStudy (anonymous):

As long as your algebra was right when putting those numbers in.

OpenStudy (anonymous):

so 473.96

OpenStudy (anonymous):

Assuming your algebra is correct, yes..

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