Question

The density of steel is $7.9\frac{gm}{c{m}^3}$ and the density of lead is $11.34\frac{gm}{c{m}^3}$. Which of the following statement is true?

• A. The volume of the lead is greater than the volume of steel for the same mass.
• B. The mass of lead is greater than the mass of steel for the same volume.
• C. Equal masses of lead and steel have the same volume.
• D. Equal volumes of lead and steel have the same mass.

Answer 1

The correct option is B

The mass of lead is greater than the mass of steel for the same volume.

1. Density is the amount of mass in a unit volume of the substance.
2. Density of steel is $7.9\frac{gm}{c{m}^3}$ means that for $1m^3$ of steel has mass of $7.9gm$.
3. Density of lead is $11.34\frac{gm}{c{m}^3}$ means that for $1m^3$ of lead has mass of $11.34gm$.
4. So for $1m^3$of volume, lead has more mass than gold.

Hence option B is correct.