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Mathematics 8 Online
OpenStudy (anonymous):

Find surface Area & Volume of the regular pentagonal pyramid ------> Click on Attachment

OpenStudy (anonymous):

OpenStudy (mertsj):

First find the area of the base. The formula is 1/2(perimeter)(apothem)

OpenStudy (mertsj):

Find that and tell me what you get.

OpenStudy (anonymous):

177.975

OpenStudy (mertsj):

Yes. That's what I got.

OpenStudy (mertsj):

Not we have to find the area of one of those triangles and multiply by 5. I'll draw a picture. We know the base is 10.17 and the slant height is the height of the triangle.

OpenStudy (mertsj):

|dw:1339278986157:dw|

OpenStudy (mertsj):

Find the area of that triangle and multiply it by 5

OpenStudy (anonymous):

127.125

OpenStudy (mertsj):

Is that one triangle or all 5?

OpenStudy (anonymous):

one

OpenStudy (anonymous):

5 would be 635.625

OpenStudy (mertsj):

Now add the area of the base that we calculated earlier. That should be the total surface area.

OpenStudy (anonymous):

SA = 762.75 ?

OpenStudy (mertsj):

What is the area of the base?

OpenStudy (anonymous):

50.85

OpenStudy (anonymous):

i mean 635.625

OpenStudy (mertsj):

What is the area of the 5 triangles?

OpenStudy (anonymous):

635.625

OpenStudy (mertsj):

First find the area of the base. The formula is 1/2(perimeter)(apothem)12 minutes ago •Report Abuse Delete 99 Mertsj 0Find that and tell me what you get.11 minutes ago •Report Abuse Delete 43 richardlong369 Best Answer 0177.975

OpenStudy (mertsj):

If you look back through the posts you will find the area of the base and the area of the 5 triangles. Add them together to get the total area.

OpenStudy (anonymous):

813.6

OpenStudy (mertsj):

yes. That is the surface area.

OpenStudy (mertsj):

Now the volume. Fortunately we are partly done with the volume because we already know the area of the base.

OpenStudy (mertsj):

So find that number. The area of the base. To find the volume multiply these 3 numbers: 1/3, the area of the base, and the height of the pyramid which is shown in the picture to be what?

OpenStudy (anonymous):

i got 13361.486

OpenStudy (mertsj):

What is the height?

OpenStudy (anonymous):

25

OpenStudy (mertsj):

That's the slant height. Look at the picture.

OpenStudy (anonymous):

24

OpenStudy (anonymous):

its 24

OpenStudy (mertsj):

The slant height is the height of the triangles that make the pyramid.

OpenStudy (mertsj):

Yes. 1/3(24)=8 so multiply 8 times the area of the base. What do you get?

OpenStudy (anonymous):

1423.8

OpenStudy (mertsj):

That's what I got as well. That would be m^3

OpenStudy (anonymous):

thankyou

OpenStudy (mertsj):

yw

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