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25 March, 06:59

A solid aluminum cube has sides each of length l. A second cube of the same material has sides four times the length of the first cube, i. E., 4 l. What is the weight of the second cube

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  1. 25 March, 10:02
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    The formula to find the volume of cube

    cube = s^3

    Therefore volume is equal to I^3

    The second cube has 4x the First cube

    4 * (I^3) = 4 * I^3

    Total volume of the second cube = 4I^3 cm3

    Fact: the density (mass : volume) of aluminium is 2.40g/cm3

    Making mass the subject of the formula:

    D = M : V

    (Times volume to remove deno minator)

    Mass = Density * Volume

    Mass = 2.40 * 4I ^3

    Mass = 8.40I^3

    By physics

    weight = m * g

    where

    M = mass

    g = acceleration due to gravity ( = 9.8)

    W = 8.40 I^3 * 9.8

    Weight of aluminium = 82.32I^3
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