Question

A container has the dimensions of 30 cm x 50 mm x 0.1 m. The density of its contents is 2.5

g/cm^3
What is the mass of the substance in kilograms?

3.8 kg
38 kg
380 kg
3,800 kg

Answer 1

3.8 kg.

Step-by-step explanation:

Density may be defined as the mass of the substance per unit of the volume. The S.I. unit of the density is kg/m^3.

The dimension of the container = 30 cm x 50 mm x 0.1 m.

30 cm = 0.3 m ( 1 cm = 1/100m)

50 mm = 0.05 m ( 1mm = 1/1000m)

Volume of container = 0.3 m × 0.05 × 0.1m

Volume of container = 0.0015 or 1500 cm^3.

Density of the container = 2.5 g/cm^3.

Density = Mass / Volume

Mass of container = Density × volume.

Mass = 2.5 g/cm^3 × 1500 cm^3.

Mass = 3750g.

Mass = 3.8 kg (approx) as 1 g = 1/1000 kg.

Thus, the correct answer is option (1).