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Lady bird [3.3K]
3 years ago
12

The density of Styrofoam is 0.03 ounce per cubic inch. What is its density in grams per cubic centimeter? Will it float in water

?​
Mathematics
1 answer:
kumpel [21]3 years ago
7 0

The density of Styrofoam in grams per cubic centimeter is 0.052 \ \frac{g}{cm^3}.

The density of the Styrofoam is less than 1, hence it will float in water.

<u />

<u>The given parameters;</u>

  • density of Styrofoam = 0.03 ounce per cubic inch

<u>To find:</u>

  • 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;

\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}

Since the density of water is  1 \ \frac{g}{cm^3}, and the density of the Styrofoam is less than 1, hence the Styrofoam will float in water.

Learn more here: brainly.com/question/17951315

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