the density of gold is 19.32 grams (g) per cubic centimeter (cm). a solid rectangular block of gold with…

the density of gold is 19.32 grams (g) per cubic centimeter (cm). a solid rectangular block of gold with dimensions 5 cm by 9 cm by 21 cm is placed on a scale. what is the mass, in grams, of the solid block of gold?

the density of gold is 19.32 grams (g) per cubic centimeter (cm). a solid rectangular block of gold with dimensions 5 cm by 9 cm by 21 cm is placed on a scale. what is the mass, in grams, of the solid block of gold?

Answer

Explanation:

Step1: Calculate volume of block

$V = 5\times9\times21=945\ cm^{3}$

Step2: Calculate mass using density - mass - volume relation

$m=\rho V$, where $\rho = 19.32\ g/cm^{3}$ and $V = 945\ cm^{3}$. So $m=19.32\times945 = 18257.4\ g$

Answer:

$18257.4$