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23 November, 21:59

Object A has a mass of 12 g and a density of 3 g/cm3. Object B has a mass of 12 g and a density of 5 g/cm3. Which object has a greater volume and by how much?

A. Object A, by 2 6 cubic centimeters

B. Object A, by 1.6 cubic centimeters

C. Object B, by 2 6 cubic centimeters

D. Object B, by 1.6 cubic centimeters

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Answers (2)
  1. 24 November, 00:24
    0
    The correct option is B

    Explanation:

    The formula for density is

    Density = mass : volume

    hence,

    volume = mass : density

    Using the formula above, Object A with a mass of 12 g and density of 3 g/cm³ will have the volume:

    volume = 12 : 3

    volume of Object A = 4 cm³

    Using the same formula, Object B with a mass of 12 g and a density of 5 g/cm³ will have the volume:

    volume = 12 : 5

    volume = 2.4 cm³

    From the above, it can be deduced that Object A has a greater volume with 1.6 (4 - 2.4) cubic centimeter difference.
  2. 24 November, 00:33
    0
    Volume = mass/density, Va=12/3=4g/cm**3, Vb=12/5=2.5 cm**3

    A has more volume by 4-2.5=1.5 cm**3
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