A solid piece of lead has a mass of 32.00 g and a volume of 2.84 cm^3. From these data, calculate the density of lead in SI units (kilograms per cubic meter).

11267.61 Kg/m³.

Explanation:

From the question given above, the following data were obtained:

Mass of lead = 32 g

Volume of lead = 2.84 cm³

Density of lead =.?

Next, we shall convert 32 g to Kg. This can be obtained as follow:

1000 g = 1 Kg

Therefore,

32 g = 32 g × 1 Kg / 1000 g

32 g = 0.032 Kg

Next, we shall convert 2.84 cm³ to m³. This can be obtained as follow:

1 cm³ = 10¯⁶ m³

Therefore,

2.84 cm³ = 2.84 cm³ × 10¯⁶ m³ / 1 cm³

2.84 cm³ = 2.84×10¯⁶ m³

Finally, we shall determine the density of the piece of lead. This can be obtained as follow:

Mass of lead = 0.032 Kg

Volume of lead = 2.84×10¯⁶ m³

Density of lead =.?

Density = mass / volume

Density of lead = 0.032 / 2.84×10¯⁶

Density of lead = 11267.61 Kg/m³