Unofficialllyy
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Can someone please help me with these 3 geometry questions? WILL FAN AND MEDAL!
Mathematics
  • Stacey Warren - Expert brainly.com
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schrodinger
  • schrodinger
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Unofficialllyy
  • Unofficialllyy
The theme park company is building a scale model of the killer whale stadium main show tank for an investor's presentation. Each dimension will be made 6 times smaller to accommodate the mock-up in the presentation room. How many times smaller than the actual volume is the volume of the mock-up?
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Unofficialllyy
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@phi
Unofficialllyy
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@Vocaloid

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Vocaloid
  • Vocaloid
consider the relationship between dimensions and volume new length = (1/6)(old length) new width = (1/6)(old width) new depth = (1/6)(old depth) new volume = (1/6)*(1/6)*(1/6)*(old volume)
Unofficialllyy
  • Unofficialllyy
So it's basically \[\frac{ 1 }{ 6 }^3*(359,189)\] 359,189 was the volume for the main show tank in the first part of the problem that I did.
Vocaloid
  • Vocaloid
well, yeah, but it's not exactly what the question is asking it just wants you say compare the mockup volume and the actual volume "the mock-up volume is 6^3 times smaller than the actual volume" should suffice as an answer
Unofficialllyy
  • Unofficialllyy
Oh I see. Okay here's the next part Using the information from #4, answer the following question by filling in the blank: The volume of the actual tank is ____% of the mock-up of the tank
Unofficialllyy
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@sourwing
Unofficialllyy
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@nincompoop
Unofficialllyy
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@eyust707
Unofficialllyy
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@jim_thompson5910 when you are online, could you check this out? :)
Vocaloid
  • Vocaloid
"The volume of the actual tank is ____% of the mock-up of the tank" means 100*(actual volume)/(mock-up volume)
Unofficialllyy
  • Unofficialllyy
So I need to find out the mock up volume. How would i do that?
Vocaloid
  • Vocaloid
mock-up volume = (1/6)^3 * actual volume
Unofficialllyy
  • Unofficialllyy
So like i had before so that would be 1662.91203704 ?
Vocaloid
  • Vocaloid
yeah
Unofficialllyy
  • Unofficialllyy
Then I would do \[100*\frac{ 359189 }{1662.91203704 }?\]
Unofficialllyy
  • Unofficialllyy
Which is 21599.99999996
Unofficialllyy
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@Vocaloid
Vocaloid
  • Vocaloid
right, just make sure to round and add a percent sign at the end
Unofficialllyy
  • Unofficialllyy
So that rounded would be 216%? Im not very good with rounding
Unofficialllyy
  • Unofficialllyy
@Vocaloid
Vocaloid
  • Vocaloid
21600%
Unofficialllyy
  • Unofficialllyy
Okay this is the last part If you were to take a cross section parallel to the base of one of the holding tanks, how would you describe the shape?
Vocaloid
  • Vocaloid
that's kind of a vague question, but the cross-section would be a rectangle, assuming we'r e just looking at the holding tank part
Unofficialllyy
  • Unofficialllyy
What is a cross section?
Vocaloid
  • Vocaloid
uh, it's a bit tough to explain but I'll try |dw:1437337323358:dw|
Unofficialllyy
  • Unofficialllyy
So it's like cutting it in half?
Vocaloid
  • Vocaloid
right, first you cut the tank, then you look at the tank from the top
Vocaloid
  • Vocaloid
|dw:1437337461036:dw|
Unofficialllyy
  • Unofficialllyy
So it says a cross section parallel, so if you cut the holding tanks in half parallel, would that make square or a rectangle?
Vocaloid
  • Vocaloid
I would say rectangle, I guess a square is a possibility if you look at it from the other side
Unofficialllyy
  • Unofficialllyy
Right, but I see why a rectangle. Thank you so much you were a huge help!

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