Question

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

Answer 1

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?

Answer 2

@phi

Answer 3

@Vocaloid

Answer 4

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)

Answer 5

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.

Answer 6

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

Answer 7

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

Answer 8

@sourwing

Answer 9

@nincompoop

Answer 10

@eyust707

Answer 11

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

Answer 12

"The volume of the actual tank is ____% of the mock-up of the tank"

means

100*(actual volume)/(mock-up volume)

Answer 13

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

Answer 14

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

Answer 15

So like i had before so that would be 1662.91203704 ?

Answer 16

yeah

Answer 17

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

Answer 18

Which is 21599.99999996

Answer 19

@Vocaloid

Answer 20

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

Answer 21

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

Answer 22

@Vocaloid

Answer 23

21600%

Answer 24

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?

Answer 25

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

Answer 26

What is a cross section?

Answer 27

uh, it's a bit tough to explain but I'll try