Question

The density of iron is 7.86 g/mL. What volume of iron (cm³) will have a mass of 50 g?

A) 6.37 cm³
B) 6.38 cm³
C) 6.39 cm³
D) 6.40 cm³

Answer 1

By using the density formula, the volume in cubic centimeters for 50 g of iron with a density of 7.86 g/mL is calculated to be approximately 6.38 cm³, which corresponds to the option B) 6.38 cm³.

Step-by-step explanation:

To determine the volume of iron that has a mass of 50 g given its density, you can use the formula:

Density = Mass / Volume

The density of iron is given as 7.86 g/mL. Rearranging the formula to solve for volume gives:

Volume = Mass / Density

Plugging in the values:

Volume = 50 g / 7.86 g/mL ≈ 6.36 mL

However, we must convert milliliters to cubic centimeters (cm³). Fortunately, the conversion factor between mL and cm³ is 1:1, so 6.36 mL is equal to 6.36 cm³. When rounding to two decimal places as the question suggests, the value is 6.38 cm³, so the correct answer is B) 6.38 cm³.