CBSE Class 9 Answered
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 | 22 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 | 23 Feb, 2014, 11:55: AM
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