Elise_a18
  • Elise_a18
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?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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Elise_a18
  • Elise_a18
@vera_ewing @Voltage @Vocaloid
Vocaloid
  • Vocaloid
good, so we have V = (1/3)(r^2)(h) we have V and r, and we want to find h
Elise_a18
  • Elise_a18
yep:)

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Vocaloid
  • Vocaloid
so we re-arrange our formula to get h = 3V/(r^2) now plug in V and r
Elise_a18
  • Elise_a18
I'm having a heard time isolating h
Vocaloid
  • Vocaloid
ok, want me to walk you through it?
Elise_a18
  • Elise_a18
Oh! wait!
Vocaloid
  • Vocaloid
nope, this formula works for a square pyramid a cone would be (1/3)(pi)r^2h
Vocaloid
  • Vocaloid
if r = the side length of the base, that is
Elise_a18
  • Elise_a18
Alright, let's start again. I have 2 formulas for a square pyramid \[\frac{ 1 }{ 6 } (b^3) \] and \[\frac{ 1 }{ 3 } (b) (h)\]
Vocaloid
  • Vocaloid
hm... the first formula only works if the height is equal to the side length of the base
Vocaloid
  • Vocaloid
lets use the second formula V = (1/3)bh where b is the area of the base and h is the height
Elise_a18
  • Elise_a18
|dw:1444411817781:dw|
Elise_a18
  • Elise_a18
Okay so the formula would be \[\frac{ 1 }{ 3 } (2) (h)\]
Vocaloid
  • Vocaloid
oh, ok, if 2 is the area of the base, then yes
Vocaloid
  • Vocaloid
V = (1/3)(2h) now multiply both sides by to "get rid of" the 1/3
Elise_a18
  • Elise_a18
base length rather :P
Elise_a18
  • Elise_a18
@Vocaloid
Vocaloid
  • Vocaloid
wait, why "cubic feet"? that implies 3 dimensions
Vocaloid
  • Vocaloid
if the side length is 2, then the base is 4
Elise_a18
  • Elise_a18
yeah, it's a square pyramid. like in my drawing
Elise_a18
  • Elise_a18
Ohh right! I forgot that BL= S^2
Vocaloid
  • Vocaloid
right, so if b = 4 then V = (1/3)(4)(h) know how to isolate h now?
Elise_a18
  • Elise_a18
Yeah I did it on my white board. Would it be h= \[\frac{ 1 }{ 3 } *8\frac{ 4 }\]
Elise_a18
  • Elise_a18
oh. O-o
Vocaloid
  • Vocaloid
nope, not quite
Elise_a18
  • Elise_a18
|dw:1444412375012:dw|
Vocaloid
  • Vocaloid
we want to "get rid of" the 1/3 fraction so we multiply both sides by 3
Elise_a18
  • Elise_a18
not like this?
Vocaloid
  • Vocaloid
V = (1/3)(4)(h) 3V = 4h with me so far?
Elise_a18
  • Elise_a18
yes. So it would be V=8 right? because the vol is already given?
Elise_a18
  • Elise_a18
OH! it's 6?
Vocaloid
  • Vocaloid
nope, remember, we want to find h
Vocaloid
  • Vocaloid
3V = 4h now divide both sides by 4
Elise_a18
  • Elise_a18
i though we need to divide 3V by 4 to isolate h?
Vocaloid
  • Vocaloid
right
Vocaloid
  • Vocaloid
h = 6, right
Vocaloid
  • Vocaloid
didn't see your answer up there ;P
Elise_a18
  • Elise_a18
Yeay! Thank you so much! I know I'm kinda slow but I love it when I can actually understand X)
Elise_a18
  • Elise_a18
i was seeing that V is substituted by 8

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