Respuesta :
We have to find the mass of the gold bar.
We have gold bar in the shape of a rectangular prism.
The length, width, and the height of the gold bar is 18.00 centimeters, 9.21 centimeters, and 4.45 centimeters respectively.
First of all we will find the volume of the gold bar which is given by the volume of rectangular prism:
Volume of the gold bar [tex]= length \times width\times height[/tex]
Plugging the values in the equation we get,
Volume of the gold bar [tex]=18.00 \times 9.21 \times 4.45= 737.721cm^3[/tex]
Now that we have the volume we can find the mass by using the formula,
[tex]Mass= density \times volume[/tex]
The density of the gold is 19.32 grams per cubic centimeter. Plugging in the values of density and volume we get:
[tex]Mass = 19.32\times 737.721=14252.769[/tex] grams
So, the mass of the gold bar is 14252.769 grams
