Q. 203.9( 10 Votes )

# A cuboid has total surface area of 50 m^{2} and lateral surface area as 30 m^{2}. Find the area of its base.

Answer :

**Given:** TSA of cuboid = 50 m^{2}

CSA of cuboid = 30 m^{2}

**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 m^{2}

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