A hollow rectangular metal box of outer dimensions 30cmx24cmx18cm and of thickness 3cm is melted to
form a solid cube. What is the measure of side of the cube (in cm)?
a) 36 √36 b) 6 c) 18 3√36 d) 6 3√36

• 18.3 cms
  by taking cube root of volume which is 3*2*(30*24+30*18+24*18) c.c.
• 12 years agoHelpfull: Yes(10) No(6)
• We can take 3cm as height for top and bottom faces.
  Total volume for top and bottom face= 2(30*24*3) = 4320
  Now, for the other two faces we reduce the length by 6cm (3+3) which is taken away by the top and bottom faces.
  So it is 2(30*12*3)= 2160
  The last two faces will have dimensions 18, 12 and 3.
  So the two faces will amount to 2(18*12*3)= 1296
  So the total volume will be= 7776
  
  Cube root of 7776 will be 19.81cm which is the dimension of the solid cube.
  
  
• 12 years agoHelpfull: Yes(3) No(2)