A square tin sheet of side 12 inches is converted into a box with open top in the following steps the sheet is placed horizontally. Then, equal sized squares, each of side x inches, are cut from the four corners of the sheet. Finally, the four resulting sides are bent vertically upwards in the shape of a box. If x is an integer, then what value of x maximizes the volume of the box?
option
(1) 3
(2) 4
(3) 1
(4) 2

• 4;
  if we cut 4 cm from each;
  then,
  L=12-4-4=4;(FROM BOTH THE SIDES 4 CM IS SUBSTRACTED);
  similarly,
  B=12-8=4
  and,
  h=4;
  so,
  volume=64;
  
• 11 years agoHelpfull: Yes(1) No(2)
• answer 2;
  for x=2 we get volume 128
  
• 11 years agoHelpfull: Yes(0) No(1)