Geometry Help Areas, Volumes and Similarity

Question

Og, a giant mentioned in the Bible, might have been 13 feet tall. If Og was proportioned like a 6-foot-tall man weighing 200 pounds, then how much would Og have weighed? Explain your reasoning.

Answer 1

The ratio of the volumes/mass is as the cube of the scale factor.

The scale factor is 13 / 6. The cube of that is 2197 / 216, or 10.171.

Og's weight is (10.171)(200) or 2,034.25 lbs.

Answer 2

13:x=6:200

200/6=33.333=x/13

x=433.329