The density of Styrofoam in grams per cubic centimeter is [tex]0.052 \ \frac{g}{cm^3}[/tex].
The density of the Styrofoam is less than 1, hence it will float in water.
The given parameters;
- density of Styrofoam = 0.03 ounce per cubic inch
To find:
- the density in grams per cubic centimeter
1 ounce = 28.35 gram
1 in³ = 16.3871 cm³
The density of Styrofoam in grams per cubic centimeter is calculated as follows;
[tex]\rho = \frac{0.03 \ ounce}{in^3} \times \frac{1 \ in^3}{16.3871 \ cm^3} \times \frac{28.35 \ g}{1 \ ounce} = 0.052 \ \frac{g}{cm^3}[/tex]
Since the density of water is [tex]1 \ \frac{g}{cm^3}[/tex], and the density of the Styrofoam is less than 1, hence the Styrofoam will float in water.
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