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2 June, 18:23

Lead has a density of 11.36 grams per cubic centimeter. Iron has a density of 7.87 grams per cubic centimeter. A rectangular prism with dimensions 5 cm by 10 cm by 8 cm is made of each material. To the nearest gram, how much greater is the mass of the prism made of lead than the one made of iron?

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  1. 2 June, 21:18
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    We have the following equation:

    D = m / V

    Where,

    m: mass

    V: volume

    D: density.

    The volume of the rectangular prism is:

    V = (5) * (10) * (8)

    V = 400 cm ^ 3

    For Lead:

    m = D * V

    m = (11.36) * (400)

    m = 4544 grams

    For Iron:

    m = D * V

    m = (7.87) * (400)

    m = 3148 grams

    The difference of the masses is:

    4544 - 3148 = 1396 grams

    Answer:

    The mass of the prism made of lead is 1396 grams than the one made of iron
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