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15 May, 21:54

A perfect cube of aluminum metal was found to weigh 20.00 g. The density of aluminum is 2.7 g/ml. What are the dimensions of the cube?

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  1. 15 May, 22:23
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    Height = 1.9493 cm

    Width = 1.9493 cm

    Depth = 1.9493 cm

    Solution:

    Data Given:

    Mass = 20 g

    Density = 2.7 g/mL

    Step 1: Calculate the Volume,

    As,

    Density = Mass : Volume

    Or,

    Volume = Mass : Density

    Putting values,

    Volume = 20 g : 2.7 g/mL

    Volume = 7.407 mL or 7.407 cm³

    Step 2: Calculate Dimensions of the Cube:

    As we know,

    Volume = length * width * depth

    So, we will take the cube root of 7.407 cm³ which is 1.9493 cm.

    Hence,

    Volume = 1.9493 cm * 1.9493 cm * 1.9493 cm

    Volume = 7.407 cm³
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