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16 September, 08:23

If feathers have a density of 0.500 lbs/ft^3, what volume in ft^3 will 8.0 lbs of feathers occupy?

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  1. 16 September, 10:06
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    The volume of the feathers in ft³ = 16 ft³

    Explanation:

    Density: This can be defined as the ratio of mass of a body to the corresponding volume of that body. The S. I unit of Density is kg/m³

    Mathematically it can be expressed as,

    D = m/v ... Equation 1

    making v the subject of the equation above,

    v = m/D ... Equation 2

    Where D = Density of the feathers, m = mass of the feathers, v = volume of the feathers.

    Given: D = 0.50 lbs/ft³, m = 8.0 lbs.

    Substituting into equation 2

    v = 8/0.5

    v = 16 ft³

    Thus the volume of the feathers in ft³ = 16 ft³
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