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Math Help - Area & Volume question

  1. #1
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    Area & Volume question

    The question: Cube C1 has sides of length L, has an area A, and a volume V. Cube C2 has an area that is 1/3 A. What is the length of the sides and the volume of cube C2? Write in terms of L and V.

    I don't know where to start with this one.
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  2. #2
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    Re: Area & Volume question

    A_c1= 6*(l_c1)^2
    v_c1=(l_c1)^3

    a_c2=a_c1/3

    (l_c2)^2=((l_c1)^2)/3 -----------------------1


    v_c2/v_c1=((l_c2)/(l_c1))^3 -----------------2
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  3. #3
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    Re: Area & Volume question

    Where do you get the 6 from in the first line?
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  4. #4
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    Re: Area & Volume question

    It is the surface area of the cube=6* l^2
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  5. #5
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    Re: Area & Volume question

    Quote Originally Posted by mopen View Post
    It is the surface area of the cube=6* l^2
    Got it...

    I arrive at the solutions of volume of C2 = 0.20 & length of C2 = 0.58
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