# A man grows into a giant such that his linear dimensions increase by a factor of 9. Assuming that his density remains same, the stress in the leg will change by a factor of ?

##### 1 Answer

Apr 8, 2018

By a factor

#9# .

#### Explanation:

Let, the man as a rectangular cuboid.

-Initially , I took the length

#"l"# , breadth#"b"# and the height as#"h"# unit.

- The pressure on the ground by the block is
#=color(red)("voloume"xx"density"xxg# - The area of the block on the ground is
#=color(red)("length"xx "breadth"# #color(red)("stress"=("volume"xx"density"xxg)/("length"xx"breadth")="height"xx"denstity"xxg# - Stress is equivalent to pressure.

- Initial
#color(red)("stress"=h cdot rho cdot g# - Final
#color(red)("stress"=9h cdot rho cdot g# Stress changed by factor

#(9h cdot rho cdot g)/(h cdot rho cdot g)=9# Hope this helps...