If Shellac scales geometrically as he grows, how much can he expect to weigh?

Question

Shellac O'Lean, a freshman on your school's football team, is 6 ft tall and weighs 150 lb. Since he would rather play basketball, he plans to grow to 7 ft 1 in., the same height as Shaquille O'Neal, his idol. If Shellac scales geometrically as he grows, how much can he expect to weigh?

Answer 1

Weight = volume.density

Assuming Shellac body compositions do not change i.e same density,

Shellac new weight is

150(7.1/6.0)³ = 248.5 lbs.

 

Note:  7.1/6.0 is the linear scale factor, so (7.1/6.0)³ is the volume (or weight) scale factor.