Can someone please help me with these 3 geometry questions? WILL FAN AND MEDAL!

- Unofficialllyy

Can someone please help me with these 3 geometry questions? WILL FAN AND MEDAL!

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- schrodinger

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- 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

@phi

- Unofficialllyy

@Vocaloid

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## More answers

- 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

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

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

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

@sourwing

- Unofficialllyy

@nincompoop

- Unofficialllyy

@eyust707

- Unofficialllyy

@jim_thompson5910 when you are online, could you check this out? :)

- Vocaloid

"The volume of the actual tank is ____% of the mock-up of the tank"
means
100*(actual volume)/(mock-up volume)

- Unofficialllyy

So I need to find out the mock up volume. How would i do that?

- Vocaloid

mock-up volume = (1/6)^3 * actual volume

- Unofficialllyy

So like i had before so that would be 1662.91203704 ?

- Vocaloid

yeah

- Unofficialllyy

Then I would do \[100*\frac{ 359189 }{1662.91203704 }?\]

- Unofficialllyy

Which is 21599.99999996

- Unofficialllyy

@Vocaloid

- Vocaloid

right, just make sure to round and add a percent sign at the end

- Unofficialllyy

So that rounded would be 216%? Im not very good with rounding

- Unofficialllyy

@Vocaloid

- Vocaloid

21600%

- 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

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

What is a cross section?

- Vocaloid

uh, it's a bit tough to explain but I'll try
|dw:1437337323358:dw|

- Unofficialllyy

So it's like cutting it in half?

- Vocaloid

right, first you cut the tank, then you look at the tank from the top

- Vocaloid

|dw:1437337461036:dw|

- 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

I would say rectangle, I guess a square is a possibility if you look at it from the other side

- Unofficialllyy

Right, but I see why a rectangle. Thank you so much you were a huge help!

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