anonymous
  • anonymous
Find the length of the base of a square pyramid if the volume is 576 cubic inches and has a height of 3 inches. 4 inches 8 inches 16 inches 24 inches
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Jack1
  • Jack1
Volume of a pyramid = ( Length x Width x Height ) / 3 if the base is a square: Length = width so Volume of a pyramid = ( Length x Length x Height ) / 3 \(\Large V = \frac{L \times L \times H}3\) if you have the volume and the height... can you solve this for Length?
anonymous
  • anonymous
would the length be 576 and the height 3?
Jack1
  • Jack1
no, V = 576 and h = 3

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anonymous
  • anonymous
oh ok sorry um.. im just wondering idk what length would be because i only have volume and height
Jack1
  • Jack1
sók... yep, we're trying to solve the length if u plug the values for volume and height into the above equation... you should be left with L^2 = ... a number
anonymous
  • anonymous
ok 576/3 would be 192 right ??
Jack1
  • Jack1
\(\Large V = \frac{L \times L \times H}3\) \(\Large 576 = \frac{L \times L \times 3}3\) \(\Large 576 = \frac{L \times L \times \color{red}{3}} {\color{red}{3}}\) \(\Large 576 = L \times L \) \(\Large 576 = L^2 \) \(\Large \sqrt{576} = \sqrt{L^2} \) \(\Large \sqrt{576} = L \)
Jack1
  • Jack1
sorry does this make it clearer tho?
anonymous
  • anonymous
a little bit im still kinda confused bu ti some what understand
Jack1
  • Jack1
1 Attachment
Jack1
  • Jack1
does the picture help? where abouts are you getting stuck and I'll try to explain it better
anonymous
  • anonymous
i was just confused at the part of where we had to find the length. but that chart u showed does help a little
Jack1
  • Jack1
cools... so how'd u go at solving, did u get an answer for L = ...?
anonymous
  • anonymous
no i was still figuring it out
anonymous
  • anonymous
@Jack1 i dont understand what to next in the equation i keep getting confused
Jack1
  • Jack1
ok, well lets back it up, and you tell me which step ur having trouble with and we'll go through it together so just say yes or no after each step, and well either keep going or explain more so 1. \(\Large V = \frac{L \times W \times H}3\) 2. "base of a square pyramid"... so from question, we know it's a square pyramid so the base is a square Length = Width new equation: \(\Large V = \frac{L \times L \times H}3\) all cool so far?
anonymous
  • anonymous
got it (:
Jack1
  • Jack1
nice 3. from the question again: "Find the length .... if the volume is 576 cubic inches and has a height of 3 inches. " so find L if V = 576 and h = 3 put the values of V and H into our equation new equation: \(\Large V = \frac{L \times L \times H}3\) \(\Large 576 = \frac{L \times L \times 3}3\) still with me?
anonymous
  • anonymous
sorry i was away from my computer but i understand still (:
Jack1
  • Jack1
all good 4. there's a 3 top and bottom in the fraction, so it's times 3 and then divide by 3... so they cancel eachother out \(\Large 576 = \frac{L \times L \times \color{red}{3}} {\color{red}{3}}\) \(\Large 576 = \frac{L \times L \times 1} 1\) \(\Large 576 = L \times L \) \(\Large 576 = L^2 \) all cool still?
anonymous
  • anonymous
ohhh ok i understand thats were i was confused before (:
Jack1
  • Jack1
got it then, sweet! so are you ok to solve from here?
anonymous
  • anonymous
yea i think so um.. for the last where it say 576=L/2 would then be 576= 2x2?
Jack1
  • Jack1
no, that's L squared, so 576 = L x L so if you take the square root of both sides you're left with : ____ (number?) = L
anonymous
  • anonymous
oooh ok im sorry i feel like a dork now the 24=L correct (:
Jack1
  • Jack1
yep, perfect! ;)
Jack1
  • Jack1
and only dorks use the word dork :P
anonymous
  • anonymous
lol thanks ^w^ you dont mind helping me with a few more questions do you ??
Jack1
  • Jack1
sure there's a lot of LaTex in this post tho, so maybe open a new one so it's faster?
anonymous
  • anonymous
oh ok (:

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