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23 November, 03:25

A square boat with a mass of 544 g is placed in a tank of corn syrup. The corn syrup has a density of 1.36 g/mL. The boat has a base that measures 8 cm by 8 cm. How far will the boat sink into the corn syrup?

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  1. 23 November, 06:12
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    6.25 cm

    Explanation:

    Density is defined as mass per unit volume of a substance hence expressed as

    d=m/v

    Where m is mass of a substance and v is the volume while d represent density.

    Making v the subject of formula then

    V=m/d

    Substituting 544 g for m and 1.36 g/mL for d then

    V=544/1.36=400ml

    Since 1ml=1cm³ then also 400 ml equals to 400cm³

    Volume is given by lwh

    V=lwh where l is length, w is width and h is height

    Making h the subject of formula

    h=V/lw

    Substituting 400cm³ for v, 8cm for l and 8cm for w then

    h=400 / (8*8) = 6.25cm
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