A merchant in Katmandu sells you a solid gold 6 kg statue for a very reasonable price. When you get home, you wonder whether or not you got a bargain, so you lower the statue into a measuring cup and measure its volume. What volume will verify that it's pure gold?

0.000311 m³

Explanation:

The formula that connect volume, mass and density is given below

D = m/v ... Equation 1

Where D = Density of the gold, m = mass of the gold, v = volume of the gold.

make v the subject of the equation

v = m/D ... Equation 2

Given: m = 6 kg,

Note the density of pure gold = 19300 kg/m².

Substitute into equation 2

v = 6/19300

v = 0.000311 m³

Hence the volume that will verify that it's a pure gold = 0.000311 m³