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18 February, 16:22

A block of substance has a width of 3.8 cm, a length of 8.2 cm, and height of 7 cm. Its mass is 0.68 kg. Calculate the density of the substance.

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  1. 18 February, 17:35
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    d = 3.11 g / cm³

    Explanation:

    Volume -

    The volume of a cuboidal object can be calculated by multiplying the length, width and height,

    Hence, Volume (V) = l * w * h,

    From the question,

    l = 8.2 cm

    w = 3.8 cm

    h = 7 cm

    Hence, the volume is,

    V = l * w * h

    V = 8.2 cm * 3.8 cm * 7 cm

    V = 218.12 cm³

    Density -

    Density of a substance is given as the mass divided by the volume,

    Hence,

    d = m / V

    From the question,

    m = 0.68 kg

    since,

    1 kg = 1000g

    m = 0.68 * 1000 = 680 g

    V = 218.12 cm³ (calculated above)

    Hence, the value of density can be calculated by using the above equation,

    d = m / V

    d = 680 g / 218.12 cm³

    d = 3.11 g / cm³
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