Question

A block of metal has a volume of 50,000 cm^3 and a mass of 300,000 g. Find the density of the metal in kg/m^3.

A. 3 kg/m^3
B. 6 kg/m^3
C. 30 kg/m^3
D. 60 kg/m^3

Answer 1

Using the mass of 300 kg and a volume of 0.05 m³, the calculated density of the metal is 6000 kg/m³. The provided options do not contain this answer, indicating a possible error in the choices given.

Step-by-step explanation:

To find the density of the metal, we use the formula density (d) = mass (m) / volume (V). The metal has a mass of 300,000 g (which is equal to 300 kg since 1 kg = 1000 g) and a volume of 50,000 cm³ (which is equal to 0.05 m³ because 1 m³ = 1,000,000 cm³).

Using these conversions, we calculate the density as follows:

d = m / V = 300 kg / 0.05 m³ = 6000 kg/m³.

This answer is not listed in the given options, indicating there may be a mistake in the calculation or the options provided are incorrect.