High School

The density of chromium metal is 7.20 g/cm\(^3\). Given that 1 foot (ft) = 12 inches (in.), 1 in. = 2.54 cm, and 1 pound (lb) = 453.6 g, what is the density of chromium in lb/ft\(^3\)?

A. 118 lb/ft\(^3\)

B. 14.7 lb/ft\(^3\)

C. 449 lb/ft\(^3\)

D. 219 lb/ft\(^3\)

Answer :

Final answer:

To convert the density of chromium from g/cm^3 to lb/ft^3, we use the given relations to convert units. After calculations, we get the density to be 449 lb/ft^3.

Explanation:

The density of chromium is given in grams per cubic centimeter, but we want the density in pounds per cubic foot. We can convert using the given relations.

First convert cubic centimeters to cubic feet: 1 cm = 1/(2.54*12) ft, so 1 cm3 = 1/(2.54*12)3 ft3. Therefore, 1 ft3 = (2.54*12)3 cm3 = 28316.847 cm3.

Next convert grams to pounds: 1 lb = 453.6 g, so 1 g = 1/453.6 lb.

Apply these conversions to the density: Density = 7.20 g/cm3 * (1 lb / 453.6 g) * (2.54 * 12)3 cm3 / 1 ft3 = 449 lb/ft3.

So, the density of chromium is 449 lb/ft3.

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