The density of gold is 19.3 g/cm3. a 3.4 mg piece of gold is hammered into a square that is 8.6 x 10-6 cm thick. what is the length of a side of the square, in cm?

The length of a side of the square is 4.53 cm

Explanation:

Volume (V) = mass/density

mass = 3.4 mg = 3.4/1000 = 0.0034 g

density = 19.3 g/cm^3

V = 0.0034/19.3 = 1.76×10^-4 cm^3

Volume = area × thickness

Area = volume/thickness = 1.76×10^-4/8.6×10^-6 = 20.48 cm^2

Length of one side of the square = sqrt(area of square) = sqrt(20.48 cm^2) = 4.53 cm