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as level p1  👍👍 volume tough question?

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1 Answer

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    Lv 7
    1 year ago

    V = 2000   ..  x = side of equilateral triangle

      Area of eq triangle = (1/2) (x)(sqrt3)(x/2)

        Area of tri. = (x^2)(sqrt 3)/4

      V = [(x^2)(sqrt 3)/4]h = 2000

        h  =  2000 / [(x^2)(sqrt 3)/4]  =  8000/[(x^2)(sqrt 3)]  <<  1st answer

    ================================

      total surface area,  A = 2[area of tri] + 3[area of a vertical side]  

      ..   Area of side  =  xh = 8000/[(x)(sqrt 3)] 

      A = 2(x^2)(sqrt 3)/4  +  3*8000/[(x)(sqrt 3)] 

      A = (x^2)(sqrt 3)/2  +  [24000/sqrt3] x^-1  >>> 2nd answer

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