Question

Question #abecb

Answer 1

The density of the piece is `"7.0 g/cm"^3`. You were cheated!

Explanation:

Step 1. Calculate the volume of the gold

`V = lwh = 30.0 color(red)(cancel(color(black)("mm"))) × 15.0 color(red)(cancel(color(black)("mm"))) × 5.0 color(red)(cancel(color(black)("mm"))) × ("1 cm"/(10 color(red)(cancel(color(black)("mm")))))^3 = "2.25 cm"^3`

Step 2. Calculate the density of the gold

`ρ = m/V = "15.8 g"/"2.25 cm"^3 = "7.0 g/cm"^3`

The density of pure gold is `"19.32 g/cm"^3`. You were cheated!