Question

The density of silver metal bar is 10.5 g/cm3 and it occupies a volume space of 0.5l. What is its mass in kilograms (kg).

Answer 1

Density is equal to the ratio of mass to the volume.

The mathematical expression is given as:

$Density = \frac{mass}{volume}$

Density of silver metal bar=$10.5 g/cm^{3}$

Convert $g/cm^{3}$ into g/L

$1 cm^{3}$ = 0.001 L

Thus, density  = $\frac{10.5}{10^{-3}} g/L$

= $10.5\times 10^{3}g/L$

Volume = 0.5 L

Put the values,

$10.5\times 10^{3}g/L= \frac{mass}{0.5 L}$

$m= 10.5\times 10^{3}g/L\times 0.5 L$

=$5.25 \times 10^{3}g$

Now, convert gram into kg

1 g = 0.001 kg

Therefore, mass in kg=  $\frac{5.25 \times 10^{3}}{10^{-3}}$

= 5.25 kg

Thus, mass of silver metal bar in kg=5.25 kg