Answer:
3.608 kg
Explanation:
Given that:
l = 2.777 inch
b = 2.434 inch
h = 1.688 inch
[tex]Volume\ of\ the\ cube=l\times b\times h[/tex]
Thus,
[tex]Volume_{gold}=2.777\times 2.434\times 1.688\ {inch}^3[/tex]
[tex]Volume_{gold}=11.4095\ {inch}^3[/tex]
1 inch = 2.54 cm
So, [tex]1\ {inch}^3=({2.5})^3\ cm^3[/tex]
[tex]Volume_{gold}=186.9682\ {cm}^3[/tex]
Given: Density = 19.3 g/cm³
[tex]Density=\frac {Mass}{Volume}[/tex]
So, Mass= density * Volume = 19.3 g/cm³ * 186.9682 cm³ = 3608.48626 g
1 g = 0.001 kg
So, Mass = 3.608 kg
