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

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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