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Mathematics 16 Online
OpenStudy (montsechamorro):

Find the volume of the pyramid.

OpenStudy (montsechamorro):

OpenStudy (montsechamorro):

@ganeshie8

ganeshie8 (ganeshie8):

Notice that the base polygon here is a triangle. Also it is a right triangle because 5^2 + 12^2 = 13^2. base = 5 height = 12 Can you find the area of the base triangle ?

OpenStudy (montsechamorro):

30

ganeshie8 (ganeshie8):

That's the area of the base polygon

ganeshie8 (ganeshie8):

Multiply that by the height of the pyramid 9 then divide by 3

OpenStudy (montsechamorro):

90?

ganeshie8 (ganeshie8):

Yep, we have used the same formula : Volume = (Base area) * (height) / 3

OpenStudy (montsechamorro):

okay so is 90 the answer

ganeshie8 (ganeshie8):

Yes

OpenStudy (montsechamorro):

thank you i just need a quick answer

ganeshie8 (ganeshie8):

If you reduced the height of that pyramid, would the volume increase or decrease ?

OpenStudy (montsechamorro):

decrease

ganeshie8 (ganeshie8):

Yeah it definitely decreases : Volume is proportional to height

ganeshie8 (ganeshie8):

Changing from 15 to 5 is a reduction by a factor of 1/3 right ?

OpenStudy (montsechamorro):

yes

ganeshie8 (ganeshie8):

so the volume gets multiplied by the same 1/3

OpenStudy (montsechamorro):

alright thank you<3

ganeshie8 (ganeshie8):

Np :)

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