Question

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

Answer 1

Answer:

3.8 kg.

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).

Answer 2

Answer:

Mass of the box is 3750 g.

Explanation:

Given that the dimensions of the box are

length $l = 30 cm$

breadth $b = 50 mm =5 cm$

height $h = 0.1 m= 10cm$

density$D = 2.5g/cm^3$

volume of the box= $lbh=30\times 5 \times 10=1500 m^3$

density D= $\frac {mass}{volume}$  

mass= $density \times volume$

mass= $2.5 \times 1500 = 3750 g$

Since density is given with the unit $g/cm^3$  the units of length given should be converted to cm if not given in cm.

Increased object density means increased mass packed into  a small volume. In the case of liquids their density determines the ease with which they flow.