A cube of length 9cm is given. Square holes of length 3cm centered in each face are cut through to the opposite face. The edges of the hole are parallel to the edges of the cube (see figure). The surface area of the cube including the insides (in sq cm) is

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• Isnt it 648??
  for each face -- > ((9*9)-(3*3))+(4*3*3) = 108
  6 face --> 6*108 = 648?
• 12 years agoHelpfull: Yes(17) No(2)
• a=surface area of 6 faces=(9*9)*6
  b=surface area of all holes at faces=(3*3)*6
  c=surface area of insides=(9*3)*4*3
  d=surface area of square at junction of 3 tunnels=(3*3)*6
  therefore, final surface area after cutting=a-b+c-d
  =486-54+324-54=702
• 12 years agoHelpfull: Yes(15) No(6)
• ans is 702.that is 100% sure
• 12 years agoHelpfull: Yes(5) No(5)
• for each face 9*9-3*3=72
  for 6 faces=6*72=432
  now for each hole at each face =3*3*4=36
  for 6 faces=3*3*4*6=216
  thus a total of 216+432=648sqrcm......
• 12 years agoHelpfull: Yes(3) No(0)
• a=surface area of 6 faces=(9*9)*6
  b=surface area of all holes at faces=(3*3)*6
  c=surface area of insides=(9*3)*4*3
  d=surface area of square at junction of 3 tunnels=(3*3)*6
  therefore, final surface area after cutting=a-b+c-(4*d)
  =486-54+324-4*54=540
• 12 years agoHelpfull: Yes(2) No(4)
• if the cube is solid then area=9*9*9=729
  Square holes of length 3cm centered in each face are cut through to the opposite face.
  so, there is 9 small cube with length 3cm each..
  total area of 9 small cube = 9(3*3*3)=243
  so, The surface area of the cube including the insides=(729-243)=486
• 12 years agoHelpfull: Yes(2) No(8)
• 702 cm^2 each face has a hole so totl area of single face =(9*9)-(3*3)+(5*3*3)
  thus totl area =6*areaof single face
  
• 12 years agoHelpfull: Yes(1) No(3)
• 702 i the ans....
• 12 years agoHelpfull: Yes(1) No(0)
• area of cube- area of square....is this the solution????? i m js asking fr the ans plz some1 post the ans
• 12 years agoHelpfull: Yes(0) No(0)
• Surface area of the cube=6*9*9=486sqcm
  Total Area of the squares= 6* 3*3=54sqcm
  Now,each exterior unit squares that is removed exposes 4 interior unit squares,so the entire surface area= 486-54+(6*4)= 456sqcm
• 10 years agoHelpfull: Yes(0) No(0)