Question

Density of silver 10.5g/cm3 calculate the length in cubic piece of silver with mass 0.443kg

Answer 1

Convert kilograms to grams:

$0.443 \: kg \times \frac{1000 \: g}{1 \: kg} = 443 \: g$

Then divide the density to the mass to get the volume:

$\frac{443 \: g}{ \frac{10.5 \: g}{ {cm}^{3} } } = 443 \: g \times \frac{ {cm}^{3} }{10.5 \: g} = 42.19 \: {cm}^{3}$

Lastly, get the cube root of it to find the sides:

${s}^{3} = v \\ \sqrt[3]{ {s}^{3} } = \sqrt[3]{42.19 \: {cm}^{3} } \\ s = 3.48 \: cm$

The answer is 3.48 cm