Calculate the mass of a solid gold rectangular bar that has dimensions /wh = 4.75 cm x 15.5 cm x 24.5 cm. (The density of gold is 19.3 x 10³ kg/m³.)
We will use the definition of density and the geometry of the bar to find the mass of the bar. Solving for mass from the equation for density p = M/V, we have the following equation for deriving the mass M of the gold bar from the density of gold gold and the volume V of the rectangular gold bar.
M = P gold V
We know that the volume of the bar is given by the product of the length times the width times the height of
the bar, that is, V = lwh. In SI units,
I = _____x 10⁻² m, w =_____x 10⁻² m, and h =_____x 10⁻² m. so that we have
V = lwh =______x 10⁻³ m³.