Question
Wed March 30, 2011 By: Sagar Kumar
 

4 cubes each of volume 64 cm3 are joined end to end. Find the surface area of the resulting cuboid.

Expert Reply
Thu March 31, 2011
Dear Student,
 
Here Is the solution:
 
Let the length of each edge of the cube of volume 64 cm3 be x cm. Then,
 
x3 = 64
x = 4 cm.
 
The dimensions of the cuboid so formed are:
L = ( 4 + 4 + 4 + 4 ) = 16 cm
B = 4 cm
H = 4 cm
 
Surface area of  the cuboid =  2( LB + BH + LH)
 => SA = 2( 16 x 4 + 4 x 4 + 16 x 4)
          = 2( 64 +16 +64)
 
          = 2 x 144
      SA = 288 cm2
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Team Topperlearning
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