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Math Help - [SOLVED] metric problem

  1. #1
    Member >_<SHY_GUY>_<'s Avatar
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    Question [SOLVED] metric problem

    maybe im wrong or wrote the correct answer differently...

    i put that there is 4.96 x 10^-7 tons in 4.5 x 10^2 kg. is that right?

    and for a drive way that measures 20ft by 30ft, how much area does it cover in square mL... but i think its mm since the answer is 5.57 x 10^7. but even so..... i got 5.57 x 10^11...

    i need help to see if im right or which is which...
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  2. #2
    Member >_<SHY_GUY>_<'s Avatar
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    sorry.

    i came on another problem. the volume of a tank is 2.15 x 1.^5 cm^3.
    how many gallons of water will it take it to fill it up?

    how do you do that?
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  3. #3
    Super Member 11rdc11's Avatar
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    Use this conversion, it should help

    1000cm^3 = L
    Last edited by 11rdc11; September 13th 2008 at 01:43 PM. Reason: Made correction
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  4. #4
    Moo
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    Hello,
    Quote Originally Posted by >_<SHY_GUY>_< View Post
    maybe im wrong or wrote the correct answer differently...

    i put that there is 4.96 x 10^-7 tons in 4.5 x 10^2 kg. is that right?
    1 \text{ ton }=907.18474 \text{ kg } (I know the tons in kg, I hope you were speaking of "short tons")

    So 4.96 \times 10^{-7} \text{ tons }=907.18474 \times 4.96 \times 10^{-7} \text{ kg }
    So I don't think your answer is right.

    and for a drive way that measures 20ft by 30ft, how much area does it cover in square mL... but i think its mm since the answer is 5.57 x 10^7. but even so..... i got 5.57 x 10^11...
    Hmmm if L stands for Litres, then it is not possible since L is for volumes, not areas !

    1 foot=304.8 mm. (we know that 1 foot=30.48 cm and 1cm=10mm)
    So 20ft x 30ft=(20*304.8)(30*304.8) mm˛=5.57*10^7

    Quote Originally Posted by >_<SHY_GUY>_< View Post
    sorry.

    i came on another problem. the volume of a tank is 2.15 x 1.^5 cm^3.
    how many gallons of water will it take it to fill it up?

    how do you do that?
    Okay.

    I think you have a problem with the cm, mm, etc... meanings.


    The standard unit is m (for meter)

    Here is a table of correspondance :

    \begin{array}{c|c} \text{Power} & \text{Writing} \\ \hline<br />
10^{-3} \text{ m} & \text{mm} \\<br />
10^{-2} \text{ m} & \text{cm} \\<br />
10^{-1} \text{ m} & \text{dm} \\<br />
{\color{red}10^{0} \text{ m}} & {\color{red}\text{m}} \\<br />
10^{1} \text{ m} & \text{dam} \\<br />
10^{2} \text{ m} & \text{hm} \\<br />
10^{3} \text{ m} & \text{km}<br />
\end{array}

    remember that the same letters in front of m apply to litres and grams.

    We know that 1 gallon = 3,78541178 litres

    Now, remember that 1L=1 dm^3, that is to say (10^{-1} m)^3=10^{-3} m^3
    or 1 dm^3=(10*cm)^3=1000 cm^3

    Try to do it



    Quote Originally Posted by 11rdc11 View Post
    Use this conversion, it should help

    cm^3 = L
    No, it is dm^3



    Edit : I must say I cheat a little since I'm in a country where we use these metric systems. On the contrary, it's a real difficulty if we travel to the USA
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  5. #5
    Member >_<SHY_GUY>_<'s Avatar
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    Quote Originally Posted by 11rdc11 View Post
    Use this conversion, it should help

    cm^3 = L
    ok the answer for that is 57.0 gal.

    this is what i did, but i think i didnt mess up...

    2.15*10^5 cm^3/1 * 1L/ cm^3 * 1qt/0.946L * 1gal/4qt

    and i got this on my calculator: 56818.18182
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  6. #6
    Member >_<SHY_GUY>_<'s Avatar
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    Quote Originally Posted by Moo View Post
    Hello,

    1 \text{ ton }=907.18474 \text{ kg } (I know the tons in kg, I hope you were speaking of "short tons")

    So 4.96 \times 10^{-7} \text{ tons }=907.18474 \times 4.96 \times 10^{-7} \text{ kg }
    So I don't think your answer is right.


    Hmmm if L stands for Litres, then it is not possible since L is for volumes, not areas !

    1 foot=304.8 mm. (we know that 1 foot=30.48 cm and 1cm=10mm)
    So 20ft x 30ft=(20*304.8)(30*304.8) mm˛=5.57*10^7


    Okay.

    I think you have a problem with the cm, mm, etc... meanings.


    The standard unit is m (for meter)

    Here is a table of correspondance :

    \begin{array}{c|c} \text{Power} & \text{Writing} \\ \hline<br />
10^{-3} \text{ m} & \text{mm} \\<br />
10^{-2} \text{ m} & \text{cm} \\<br />
10^{-1} \text{ m} & \text{dm} \\<br />
{\color{red}10^{0} \text{ m}} & {\color{red}\text{m}} \\<br />
10^{1} \text{ m} & \text{dam} \\<br />
10^{2} \text{ m} & \text{hm} \\<br />
10^{3} \text{ m} & \text{km}<br />
\end{array}

    remember that the same letters in front of m apply to litres and grams.

    We know that 1 gallon = 3,78541178 litres

    Now, remember that 1L=1 dm^3, that is to say (10^{-1} m)^3=10^{-3} m^3
    or 1 dm^3=(10*cm)^3=1000 cm^3

    Try to do it




    No, it is dm^3



    Edit : I must say I cheat a little since I'm in a country where we use these metric systems. On the contrary, it's a real difficulty if we travel to the USA

    Well The US Keeps Saying That We Will Switch To Metric...Its Just Sad To See That They Keep Saying That


    well the original problem is how many tons are there in 4.5 x 10^2 kg? and the answer is 0.496. but what i did was from 450 kg and convert to grams, to lbs, to tons... and i guess my answer is wrong...

    i think my problem is that i quickly read the suffix of the unit and assume that is the number without reading what unit is below or above. i accidently put 1000 mm = 1 cm

    and well its for chemisrty... and he only limits us to the units he gave us... but i will try

    Merci Beaucoup Mademoiselle Moo
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  7. #7
    Member >_<SHY_GUY>_<'s Avatar
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    Quote Originally Posted by 11rdc11 View Post
    Yep it looks right
    but apparently its not right... Moo informed me that is dm not cm...

    but thank you for your help..
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  8. #8
    Moo
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    Quote Originally Posted by >_<SHY_GUY>_< View Post
    but apparently its not right... Moo informed me that is dm not cm...

    but thank you for your help..
    And I'm sure it's dm not cm. If you take dm, you'll get the correct answer you're given

    Quote Originally Posted by >_<SHY_GUY>_< View Post
    Well The US Keeps Saying That We Will Switch To Metric...Its Just Sad To See That They Keep Saying That


    well the original problem is how many tons are there in 4.5 x 10^2 kg? and the answer is 0.496. but what i did was from 450 kg and convert to grams, to lbs, to tons... and i guess my answer is wrong...
    I don't know which tons you use...
    There's a ton in my country we use as being 1000kg, but when i looked up in google, i found that a "short ton" is 904 kg.

    i think my problem is that i quickly read the suffix of the unit and assume that is the number without reading what unit is below or above. i accidently put 1000 mm = 1 cm
    then you should get the correct answer now !
    it's 1000mm^3=1 cm^3


    Merci Beaucoup Mademoiselle Moo
    You are very welcome
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  9. #9
    Super Member 11rdc11's Avatar
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    Just looked up in my physics book and this may help you

    1m^3 = 1000L = 35.3ft^3=264gal

    Thanks for catching my mistake
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  10. #10
    Moo
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    Oh by the way, look at here for the powers of the meter : Metre - Wikipedia, the free encyclopedia

    Litre - Wikipedia, the free encyclopedia
    One litre is equal to 0.001 cubic metre and is denoted as 1 cubic decimetre (dm3).
    Wikipedia explains it well
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  11. #11
    Member >_<SHY_GUY>_<'s Avatar
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    Quote Originally Posted by Moo View Post
    And I'm sure it's dm not cm. If you take dm, you'll get the correct answer you're given


    I don't know which tons you use...
    There's a ton in my country we use as being 1000kg, but when i looked up in google, i found that a "short ton" is 904 kg.


    then you should get the correct answer now !
    it's 1000mm^3=1 cm^3



    You are very welcome
    well... i dont know if it clarifies it... but 2000 lbs = 1 ton thats what we use.

    and i got the answer

    i need to be more aware of the prefixes... and thank you for the table... it helps alot.
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  12. #12
    Member >_<SHY_GUY>_<'s Avatar
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    im still a bit lost.

    how many tons in 450 g.

    i did this.

    450 kg * 1g/ 1000kg * 1lbs/454g * 1ton/ 2000 lbs.

    but i get 0.000000496.

    but the answer is 0.496... i dont get What Moo Was Saying Of A Conversion Related to this...

    maybe im still doing it wrong
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  13. #13
    Super Member 11rdc11's Avatar
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    Check your conversion, 1kg = 1000g
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  14. #14
    Member >_<SHY_GUY>_<'s Avatar
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    Question

    Quote Originally Posted by 11rdc11 View Post
    Check your conversion, 1kg = 1000g
    but isnt kg smaller than grams?

    so 1 kg doesnt equal 1000g
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  15. #15
    Super Member 11rdc11's Avatar
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    Nope kg bigger than g
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