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Thread: Surface Area - cube

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    An Urch Guru Pundit Swami Sage
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    Surface Area - cube

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    A smith received an order to make a 1 million liter cube shaped tank. If he has only 4*2 sheets of metal that can be cut, how many metal sheets will be required if the smith has to make the sides first and then weld them?
    92
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    12
    22
    52

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    What are the units of 4*2 sheets ?

    My approach was 1 million liter cube implies each side is 100.

    Therefore area of each side 10000. No of sheets required would be 10000/(4*2) = 125 (but this no where close) since units of 4*2 sheets are not specified.
    So if I have to make a guess it would be 12 since that is the only one which is multiple of 6 (6 surfaces)


    Elton

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    An Urch Guru Pundit Swami Sage kannn's Avatar
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    a^3 = 10^6
    a=100

    SA = 6a^2 = 60000
    Area of the metal = 4 * 2 = 8
    Number of required sheets = 60000/8 = 7500
    Last edited by kannn; 11-15-2007 at 08:00 PM.

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    Hey Kannn,

    How are you getting SA as 6a, Shouldn't it be 6 a ^ 2? (Surface of cube = 6 times area of each side i.e 6 ^ 2)

    What am I missing?
    Elton

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    Quote Originally Posted by eltonr View Post
    Hey Kannn,

    How are you getting SA as 6a, Shouldn't it be 6 a ^ 2? (Surface of cube = 6 times area of each side i.e 6 ^ 2)

    What am I missing?
    Elton
    Yeah. Mistake. Thanks for correcting it.
    It is 6a^2 = 6 * 100 * 100 / 4 * 2 = No where close

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    To solve this question, the dimensions of 16 Metal sheets should be known. We know that each side has to be 100 ( Units) , and by knowing what is the size of Metal sheets, we can figure out how many sheets are required to make 1 face of the cube or vice versa.

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    An Urch Guru Pundit Swami Sage
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    4*2 sheets are in cubic meters

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    1 million liter cube shape tank implies a volume of 1 * 10^6 or simply 10^6

    V = 10^6

    We need to derive the side of a cube from the volume of a cube.

    V cube = s^3
    10^6 = s^3
    10^(2* 3) = s^3

    SA cube = 6 faces * area of a face
    6 * (10^2) * (10^2)
    60000 m^3

    # of sheets required = Total SA / measure of each sheet
    = 60000 / (4*2)
    = 60000/8
    = 7500.

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