Question

a gold bar that is 16 centimeters by 2.5 centimeters by 5 centimeters has a density of 19.3 grams per cubic centimeter. what is the mass of the gold bar?

Answer 1

The volume of the bar is:
16*2.5*5= 200 cm3
the mass is:
200*19.3= 3860 grams

Answer 2

Mass of the gold bar is 3860 grams.

Explanation:

The dimensions of the gold bar is 16 centimeters by 2.5 centimeters by 5 centimeters.

The density of the gold bar is 19.3 grams per cubic centimeter.

We know the formula,

`\text{density}=\frac{\text{mass}}{\text{volume}}`

Volume = 16×2.5×5 = 200 cubic centimeters.

Substituting the known values in the above formula, we get

`19.3=\frac{\text{mass}}{200}\\\\\text{mass}=200*19.3\\\\\text{mass}=3860\text{ grams}`

Hence, mass of the gold bar is 3860 grams.