Question

In the movie “ Indiana Jones Raiders of the lost Ark “, Jones replaces a gold statuette with a bad of sand. If the densities of gold and sand are 19.3 g/mL and 2.00 g/mL, respectively, what volume of sand would be needed to NOT trigger the trap? ( the trap is triggered by a chance in mass). The statuette appeared to have a volume of 350 mL. Use factor label to answer this question.

Answer 1

volume of gold = 350 mL

we need to calculate the volume of sand

use:

volume of sand = mass of sand / density of sand

Since mass of sand and gold should be same,

volume of sand = mass of gold / density of sand

volume of sand = density of gold * volume of gold / density of sand

volume of sand = 19.3 * 350 / 2.00

= 3.38*10^3 mL

Answer: 3.38*10^3 mL