## Unofficialllyy one year ago Can someone please help me with these 3 geometry questions? WILL FAN AND MEDAL!

1. 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?

2. Unofficialllyy

@phi

3. Unofficialllyy

@Vocaloid

4. 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)

5. 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.

6. 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

7. 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

8. Unofficialllyy

@sourwing

9. Unofficialllyy

@nincompoop

10. Unofficialllyy

@eyust707

11. Unofficialllyy

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

12. Vocaloid

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

13. Unofficialllyy

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

14. Vocaloid

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

15. Unofficialllyy

So like i had before so that would be 1662.91203704 ?

16. Vocaloid

yeah

17. Unofficialllyy

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

18. Unofficialllyy

Which is 21599.99999996

19. Unofficialllyy

@Vocaloid

20. Vocaloid

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

21. Unofficialllyy

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

22. Unofficialllyy

@Vocaloid

23. Vocaloid

21600%

24. 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?

25. 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

26. Unofficialllyy

What is a cross section?

27. Vocaloid

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

28. Unofficialllyy

So it's like cutting it in half?

29. Vocaloid

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

30. Vocaloid

|dw:1437337461036:dw|

31. 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?

32. Vocaloid

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

33. Unofficialllyy

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

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