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A cubical box is to be constructed with iron 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^-3`and density of water `=1000 kgm^-3`.

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The correct Answer is:
C, D
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`
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