Question

A cubical block is to be cinstructed sith iron sheets 1mm in thickness

Answer 1

1 mm = 0.001 m 

Let L = length, meters 

Volume of a cube = L³ 

Each face of the cube has an area of L² 

Weight of the cube (all SIX faces of the cube covered) 
= ( 6 )( L² )( 8000 kg/m³ )( 0.001 m ) 

= ( L² )( 48 kg/m² ) 

Weight of the water displaced by the volume of the cube 
= ( L³ )( 1000 kg/m³ ) 

The weight of the cube equals the weight of the water displaced by the volume of the cube 

( L² )( 48 kg/m² ) = ( L³ )( 1000 kg/m³ ) 

Rearranging... 

L = ( 48 kg/m² ) / ( 1000 kg/m³ ) 

L = 0.048 m 

L = 48 mm (the edge length).

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