A cuboid has total surface area of 372 sq.cm & its lateral surface area is 180 sq.cm.Find the area of its base.

Asked by bansari Butani | 22nd Feb, 2014, 03:17: PM

Expert Answer:

total surface area of the cuboid is given by 2 ( lb + bh + lh) 
hence  2 ( lb + bh + lh ) = 372  sq
 
lateral surface area is given by  2 ( hl + hb) 
2 ( hl + hb)  = 180 sq cm
 
2 ( lb + bh + lh ) = 372  sq
 
ie  2lb + 2bh + 2hl = 372  
 
    2lb + 2( hl + hb) = 372
 
    2lb +  180 = 372 
 
              2lb =  372 - 180 =  192 
 
               2lb = 192
 
                 lb = 96 sq cm
 
since , the base of cuboid is rectangle . the area of the base is lb
 
hence the area of the base of this cuboiud is 96 sq cm

Answered by  | 23rd Feb, 2014, 11:55: AM

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