Answer
$m_{platinum}$ = 1822.9 g = 1.82 x $10^{3}$ g
Work Step by Step
From formula for density
d = $\frac{m}{V}$ , we can write the formula to find the mass: m = d x V
1- First find the volume of the the cube of platinum . We know that
$V_{cube}$ = $edge^{3}$
so $V_{cube of platinum}$ = $(4.40)^{3}cm^{3}$ = 85.18 $cm^{3}$
2- Find the mass of the cube of platinum:
m = d x V
$m_{platinum}$ = 21.4 $\frac{g}{cm^{3}}$ x85.18 $cm^{3}$
$m_{platinum}$ = 1822.9 g.
Or we can write the mass of platinum:
$m_{platinum}$ = 1822.9 g = 1.82 x $10^{3}$ g