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Elise_a18
 one year ago
Medal and Fan
Not a multiple choice question, test, or Exam question
What is the formula for finding the height of a square pyramid who's volume is 8 cubic feet and a base length of 2 ft?
Elise_a18
 one year ago
Medal and Fan Not a multiple choice question, test, or Exam question What is the formula for finding the height of a square pyramid who's volume is 8 cubic feet and a base length of 2 ft?

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Elise_a18
 one year ago
Best ResponseYou've already chosen the best response.0@vera_ewing @Voltage @Vocaloid

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1good, so we have V = (1/3)(r^2)(h) we have V and r, and we want to find h

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1so we rearrange our formula to get h = 3V/(r^2) now plug in V and r

Elise_a18
 one year ago
Best ResponseYou've already chosen the best response.0I'm having a heard time isolating h

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1ok, want me to walk you through it?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1nope, this formula works for a square pyramid a cone would be (1/3)(pi)r^2h

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1if r = the side length of the base, that is

Elise_a18
 one year ago
Best ResponseYou've already chosen the best response.0Alright, let's start again. I have 2 formulas for a square pyramid \[\frac{ 1 }{ 6 } (b^3) \] and \[\frac{ 1 }{ 3 } (b) (h)\]

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1hm... the first formula only works if the height is equal to the side length of the base

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1lets use the second formula V = (1/3)bh where b is the area of the base and h is the height

Elise_a18
 one year ago
Best ResponseYou've already chosen the best response.0dw:1444411817781:dw

Elise_a18
 one year ago
Best ResponseYou've already chosen the best response.0Okay so the formula would be \[\frac{ 1 }{ 3 } (2) (h)\]

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1oh, ok, if 2 is the area of the base, then yes

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1V = (1/3)(2h) now multiply both sides by to "get rid of" the 1/3

Elise_a18
 one year ago
Best ResponseYou've already chosen the best response.0base length rather :P

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1wait, why "cubic feet"? that implies 3 dimensions

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1if the side length is 2, then the base is 4

Elise_a18
 one year ago
Best ResponseYou've already chosen the best response.0yeah, it's a square pyramid. like in my drawing

Elise_a18
 one year ago
Best ResponseYou've already chosen the best response.0Ohh right! I forgot that BL= S^2

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1right, so if b = 4 then V = (1/3)(4)(h) know how to isolate h now?

Elise_a18
 one year ago
Best ResponseYou've already chosen the best response.0Yeah I did it on my white board. Would it be h= \[\frac{ 1 }{ 3 } *8\frac{ 4 }\]

Elise_a18
 one year ago
Best ResponseYou've already chosen the best response.0dw:1444412375012:dw

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1we want to "get rid of" the 1/3 fraction so we multiply both sides by 3

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1V = (1/3)(4)(h) 3V = 4h with me so far?

Elise_a18
 one year ago
Best ResponseYou've already chosen the best response.0yes. So it would be V=8 right? because the vol is already given?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1nope, remember, we want to find h

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.13V = 4h now divide both sides by 4

Elise_a18
 one year ago
Best ResponseYou've already chosen the best response.0i though we need to divide 3V by 4 to isolate h?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1didn't see your answer up there ;P

Elise_a18
 one year ago
Best ResponseYou've already chosen the best response.0Yeay! Thank you so much! I know I'm kinda slow but I love it when I can actually understand X)

Elise_a18
 one year ago
Best ResponseYou've already chosen the best response.0i was seeing that V is substituted by 8
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