A cubical box is to be constructed with irogn sheets 1 mm in thickness. What can be the minimum value of the external edge so that the cube does not sink in water? Density of iron =8000kg m^-3and density of water =1000 kgm^-3.

A cubical box is to be constructed with irogn sheets 1 mm in thickness

1.	A cubical box is to be constructed with irogn sheets 1 mm in thickness. What can be the minimum value of the external edge so that the cube does not sink in water? Density of iron =8000kg m^-3and density of water =1000 kgm^-3.
Answer» Solution :LET xrarr exterN/Al EDGE `-rho_1=8000kg/m^3` `=8gm/u` `rho_w=1000kg/m^3` `=1gm/u` `:.w=u` `=For the given CONDITION `Weight of the box=Buoyant force `rarr V_1g=vrho_ug` `rarr (x^2xx(0.1)xx6)xx8=xy^3xx1` [Because VOLUME of iron `=v_1=6volume of each SHEET]` `rarr x=4.8cm`