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Mathematics 19 Online
OpenStudy (compassionate):

Pyramid A is a square pyramid with a base side length of 12 inches and a height of 8 inches. Pyramid B has a volume of 20,736 in3. How many times bigger is the volume of pyramid B than pyramid A

OpenStudy (compassionate):

So... Volume = 1/3 bh 1/3 12 * 8 = 96 * 1/3 = 32... If I divide 32 by 20,736, I get 648... That can't be right.

OpenStudy (anonymous):

no it isnt... you got the formula right but you carried it out wrong B=base= length*width so... 1/3 lwh= 1/3 12*12*8=384

OpenStudy (fibonaccichick666):

i think you flipped what you did for your division

OpenStudy (fibonaccichick666):

also^^ what element said

OpenStudy (fibonaccichick666):

it's the area of the base, not just the base length

OpenStudy (anonymous):

384 is the V for pyramid A so divide Volume B by Volume A

OpenStudy (anonymous):

and you get your answer

OpenStudy (compassionate):

My book says different... http://prntscr.com/3d71mk

OpenStudy (fibonaccichick666):

the capital b implies the area

OpenStudy (anonymous):

hmm... idk why it is different... and yes B= area of base

OpenStudy (fibonaccichick666):

otherwise it would just use lowercase as is convention

OpenStudy (compassionate):

So we multiply the area times the height...

OpenStudy (anonymous):

yes the area of base times height

OpenStudy (compassionate):

What does the area of the base mean

OpenStudy (anonymous):

length times width

OpenStudy (fibonaccichick666):

it makes a square at the base

OpenStudy (anonymous):

since it is a square pyramid the base resembles a 2D square so just multiply to find the area

OpenStudy (compassionate):

Wait, what?

OpenStudy (anonymous):

|dw:1398398234703:dw| |dw:1398398262102:dw|

OpenStudy (anonymous):

B= l*w

OpenStudy (fibonaccichick666):

|dw:1398398289761:dw|

OpenStudy (compassionate):

"Pyramid A is a square pyramid with a base side length of 12 inches and a height of 8 inches. Pyramid B has a volume of 20,736 in3. How many times bigger is the volume of pyramid B than pyramid A" We're not given a length.

OpenStudy (anonymous):

since it is a SQUARE pyramid the side lengths are equal (12) keyword: SQUARE the height is 8

OpenStudy (compassionate):

I'm not understanding. We're trying to find B. You're no telling me where legnth comes in from.

OpenStudy (fibonaccichick666):

What can you tell me about the sides of a square?

OpenStudy (anonymous):

|dw:1398398476891:dw|

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