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What is the volume of 300.0 grams of lead if it has a density of 22.6 g/cm³?

a)13.3cm^3
b)13300cm^3
c)6.7cm^3
d)135.8cm^3

1 Answer

6 votes

Final answer:

The volume of 300 grams of lead with a density of 22.6 g/cm³ is approximately 13.3 cm³. This is determined using the formula Volume = Mass / Density, and the resulting volume aligns with option (a). There appears to be a typo in the density figure provided, but the calculation is based on the density given in the question.

Step-by-step explanation:

The student is asking how to calculate the volume of lead when given its mass and density. To find the volume, you can use the formula for density, which is:

Density = Mass / Volume

Rearranging this formula to solve for volume gives:

Volume = Mass / Density

We are given a mass of 300.0 grams and a density of 11.34 g/cm³ for lead. Using these values:

Volume = 300.0 g / 11.34 g/cm³ = 26.4565 cm³

However, since the density provided in the question is 22.6 g/cm³, it seems there might be a typo. If we use the correct density from the question, the calculation would be:

Volume = 300.0 g / 22.6 g/cm³ = 13.2743 cm³

When rounded to the nearest tenth, the volume is approximately 13.3 cm³, which corresponds to option (a).

User James Tan
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