Question

In the Indiana Jones movie “Raiders of the Lost Ark”, Indiana finds a solid gold head mask that has the rough dimensions of 13.3 inches tall, 7.8 inches wide, and 9.0 inches thick. Gold has a density of 19.3 g/cm3. Determine the mass (or weight) of this gold head in pounds. For this problem gold weight is determined in ordinary pounds having 16.0 ounces per pound, not Troy ounces. (Note: If necessary for very large or small numbers enter them using engineering notation. For example, 123456789 would be entered as 1.23456789E8. Likewise 0.000000001234 would be entered as 1.234E-9.)

Answer 1

First let's find the total volume of the mask with given dimensions: 13.3 inches tall, 7.8 inches wide, and 9.0 inches thick.

We know, 1 inch = 2.54 cm, so 1 inch³ = 16.387064 cm³

Total Volume = 13.3 7.8 9.0 = 933.66 inch³

Total Volume = 15299.9462 cm³ = 1.52999462 10⁴ cm³

Density = Mass / volume, Density is given = 19.3 g/cm³

Mass = Density Volume = 19.3 g/cm³ 1.52999462 10⁴ cm³ = 2.9528896166 10⁵ g

1 pound = 16.0 ounces and 1 ounce = 28.3495 g

1 pound = 16.0 28.3495 g = 453.592 g

So, Mass of the mask = ( 2.9528896166 10⁵ g) / 453.592 g = 6.51001255886 10² Pounds

Thus, Mass of the mask = 6.51001255886 10² Pounds.