Q. 203.9( 10 Votes )

A cuboid has total surface area of 50 m2 and lateral surface area as 30 m2. Find the area of its base.

Answer :

Given: TSA of cuboid = 50 m2


CSA of cuboid = 30 m2


To find: Area of base


Formula Used:


CSA = 2(bh +lh)


TSA = 2(lb + bh +lh)


Solution:


As lateral surface area is same as curved surface area,


According to the question,


2(l × h + b × h) = 30


2(l × b) + 2(l × h + b × h) = 50


= 2(l × b) + 30 = 50


=2(l × b) = 50-30


=20


= l × b=20/2


=10


So,


Area of base = l × b=10 m2


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