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The Pacific Ocean has a surface area of 1.66242 x 108 km2 and an average depth of 3.940 x 103m. Find the volume of the Pacific Ocean in term of cubic centimeters. Make sure you round your answer to the correct number of significant figures.

 

Thank ya guys!

 Apr 17, 2015

Best Answer 

 #1
avatar+118587 
+13

Innocent girl ?  where is she????     Can't see her here. :)

Where is Zegroes superior intellect when we need it ??

--------------------------------

1.66242 x 108 km2 

average depth of 3.940 x 103m which is   3.94 km

 

$$V=1.66242\times 10^8 \times 3.94 \;\;km^3$$

 

$${\mathtt{1.662\: \!42}}{\mathtt{\,\times\,}}{\mathtt{3.94}}{\mathtt{\,\times\,}}{{\mathtt{10}}}^{{\mathtt{8}}} = {\mathtt{654\,993\,480}}$$     km^3

 

I don't know how many figures are significant :/   I only just saw that bit :(

Maybe Chris can help here ?

 Apr 18, 2015
 #1
avatar+118587 
+13
Best Answer

Innocent girl ?  where is she????     Can't see her here. :)

Where is Zegroes superior intellect when we need it ??

--------------------------------

1.66242 x 108 km2 

average depth of 3.940 x 103m which is   3.94 km

 

$$V=1.66242\times 10^8 \times 3.94 \;\;km^3$$

 

$${\mathtt{1.662\: \!42}}{\mathtt{\,\times\,}}{\mathtt{3.94}}{\mathtt{\,\times\,}}{{\mathtt{10}}}^{{\mathtt{8}}} = {\mathtt{654\,993\,480}}$$     km^3

 

I don't know how many figures are significant :/   I only just saw that bit :(

Maybe Chris can help here ?

Melody Apr 18, 2015
 #2
avatar+3693 
+5

sorry i have to say it, Z! but. melody is purty smart! LOL

Thanks, Melody! :)

 Apr 18, 2015
 #3
avatar+3502 
0

Ah thank you melody! I was just about to post my answer too darn it! Oh well next time......

 Apr 18, 2015
 #4
avatar+3693 
+5

surreee ya did.. melody, see what i have to deal with!

 Apr 18, 2015
 #5
avatar+118587 
+5

Chris we need you.  I don't know how many figures are significant.  Can you help?

 Apr 18, 2015
 #6
avatar+118587 
+5

Hi Brittany,

Yea we all have to 'cope' with Zegroes.  Just be glad that you are not his parent.    LOL  :))

 Apr 18, 2015
 #7
avatar+3502 
0

You can all say what you want! But you guys know ya love me

 Apr 18, 2015
 #8
avatar+3693 
+5

phew! i dont know what i'd do.

i mean, hi zegroes! of course I would like to be ur parent! O.O

 Apr 18, 2015
 #9
avatar+3693 
+5

maybe... :)

maybe not... :/

 

u never know.

 Apr 18, 2015
 #10
avatar+118587 
+5

Yea you are pretty special zegroes :))

Do you like the little yellow bus?

 Apr 18, 2015
 #11
avatar+3693 
+5

is it just me or does anybody know what the little yellow bus is? im so lost lol

 Apr 18, 2015
 #12
avatar+3502 
0

just jealousy. Pure jealousy

 Apr 18, 2015
 #13
avatar+3502 
0

Bj its the bus you ride on

 Apr 18, 2015
 #14
avatar+3693 
+5

i dont ride in a bus. :)

 Apr 18, 2015
 #15
avatar+118587 
+5

We don't have little yellow buses in Australia.  But on U.S. shows it is the one that takes the 'special' kids to school :)

 Apr 18, 2015
 #16
avatar+3693 
+5

hahhaha!

 Apr 18, 2015
 #17
avatar+3502 
0

Yes in australia they take the short kangaroos obviously

 Apr 18, 2015
 #18
avatar+118587 
+5

Yes, that is how I used to get to school :))

 Apr 18, 2015
 #19
avatar+128053 
+5

Well....we can't swear to the "innocent" part....but here goes........

 

1.66242 x 108 km2  .......there are  10,000,000,000cm^2  in 1 km^2  = 10^10 cm^2 in 1 km^2.......so

1.66242 x 108 x 1010 = 1.66242 x 1018 cm^2

 

As for the second part, we have

 3.940 x 103m  .......and there are 100 cm in 1 m  = 102 cm

So....

 3.940x 103 x 102   =   3.940 x 105 cm

 

So....putting this all together, we have

1.66242 x 3.940 x 1018 x 105  = 

654993480000000000000000 cm^3  =

About 6.6 x 1023 cm^3

P.S. ......check my math, Melody......we Yanks don't deal well with metric units.....!!!

 

  

 Apr 18, 2015
 #20
avatar+3502 
0

Its ok Chris. Melody already answered this obviously easy question. And i would have answered it too if ya know I wasnt already answering everything else on the forum while yo utwo frolic

 Apr 18, 2015
 #21
avatar+3693 
+5

haha! calm down, hotshot. Chris loves math. (no one can stop him) LOL

 Apr 18, 2015
 #22
avatar+128053 
+8

"Little yellow bus"  isn't exactly the correct terminolgy, here......it's known as  the "Short Bus".....LOL!!!

 

  

 Apr 18, 2015
 #23
avatar+3502 
0

ooooh! Chris told you melody! *Whispers to melody* I think hes still a little sour because you were getting on him even though he cooked your cake

 Apr 18, 2015
 #24
avatar+3693 
+5

ahhah! yea, melody! watch out for chris!

 Apr 18, 2015
 #25
avatar+118587 
+5

Thanks Chris,

How do you know how many places are significant.  Since it is in cm^3 surely only 1 place would be significant.

 

There are 100 cm in a metre and 1000m in a km so that is 100,000 cm in a km

that is  100,000*100,000 = $$10^5*10^5=10^{10}$$      cm^2 in a km^@

so

The Pacific Ocean has a surface area of 1.66242 x 108 km2           

$$1.66242 \times 10^{8+10}=1.66242 \times 10^{18} cm^2$$

 

and an average depth of 3.940 x 103m. 

 

which is   $$3.940\times 10^{3+2}=3.940\times 10^{5}\;\;cm \qquad Edited$$

 

Volume is surface area x depth

$${\mathtt{1.662\: \!42}}{\mathtt{\,\times\,}}{\mathtt{3.94}}{\mathtt{\,\times\,}}{{\mathtt{10}}}^{{\mathtt{18}}}{\mathtt{\,\times\,}}{{\mathtt{10}}}^{{\mathtt{5}}} = {\mathtt{654\,993\,480\,000\,000\,000\,000\,000}}$$

 

$$\\$Volume = $ 6.549934800 \times 10^{23}\;\;cm^3\qquad Edited$$

 

I don't know how many of these are significant  :/

Maybe I will go for 4 since depth has 4

 

$$\\$Volume = $ 6.550 \times 10^{23}\;\;cm^3\qquad Edited$$            (Thanks Chris)  I think I like 4 sf  :))

 Apr 18, 2015
 #26
avatar+118587 
+5

There is 1000 m in a km Chris, I think that you lost a zero.

 

Where is Nauseated.   I am sure he could convert this to imperial minims for us!

We all know that the water in the oceans must be measured in imperial minims !!!!!

 Apr 18, 2015
 #27
avatar+118587 
+5

There is more cake, you can have another peice Zegroes.

I don't think that Chris is upset with me.  He has probably just got a belly ache from eating too much of his non-depleting cake!

 Apr 18, 2015
 #28
avatar+128053 
+10

I think you got one too many zeroes in the second part, Melody.....

The depth is 3.940 x 103 meters   = 3940m

Sinc there are  100cm to a meter, we have

3940m x 100cm  = 394,000 cm  = 3.940 x 105 cm

I think my answer is good.....I don't know what might be considered "significant"....we're probably looking for a "ballpark" number, anyway.....

 

  

 Apr 18, 2015
 #29
avatar+3693 
0

surprise me. lol

 Apr 18, 2015
 #30
avatar+3502 
-1

So Bj. Two different answers? Which one will you choose?

 Apr 18, 2015
 #31
avatar+529 
+8

$$\textcolor[rgb]{0,0,1}{\mathbf{Yes, 4\ sig\ figs\ is\ the \ best\ you \ can\ do\ because\ that's\ the\ accuracy\ of\ our \ least\ accurate\ data.}}$$

  ➷

.
 Apr 18, 2015
 #32
avatar+118587 
+5

You were right Chris, I had put in an extra zero.

And thanks Badinage.  We both agree that 4 s.f. is best :))

 Apr 18, 2015
 #33
avatar+118587 
+5

Badinage.   Your post is not displaying properly :/

 Apr 18, 2015
 #34
avatar+4709 
+8

I guess I'm too young to join this conversation.

 

 

(My knowledge is still developing)

 Apr 18, 2015
 #35
avatar+118587 
+8

You have joined in MG and that is fine :)))

 Apr 18, 2015
 #36
avatar+4709 
+8

Hah, yay!?

 Apr 18, 2015
 #37
avatar+3693 
+8

claps 2 u, MathsGod... claps 2 u

 Apr 18, 2015
 #38
avatar+4709 
+8

 

^ They explain it all...

 Apr 18, 2015

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