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29 December, 16:10

Perform this operation and report the answer to the correct number of significant figures: What is the mass of a cube of aluminum that is 4.0 cm on each edge? The density of aluminum is 2.7 g/cm^3. Show all calculations leading to an answer.

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  1. 29 December, 18:39
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    The answer is 172.8 g.

    The volume of the cube (V) is:

    V = a³ (a - the side of the cube)

    The density (D) is quotient of mass (m) and volume (V):

    D = m/V = m/a ³

    ⇒ m = D · a³

    It is given:

    D = 2.7 g/cm ³

    a = 4 cm

    Therefore:

    m = D · a³ = 2.7 · 4³ = 172.8 g
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