Question

Find the lateral surface area of a cuboidal box whose perimeter of the base is 56cm and height is one fourth the sum of it's length and breadth

Answer 1

Dear mates here is your solution:-

Let the length, breadth and height of the cuboidal box be l, b and h respectively. Then

Given perimeter of base

=>2*(l+b)=56cm

=> (l+b) =28cm

Now it is given that

H=(l+b) /4

=>H=28/4

=>H=7 cm

Now we know what

'' Lateral surface area of a cuboid = Sum of the areas of its 4 lateral rectangular faces''

=>L. S. A= 2h(b+l) cm2

=2*7(28)

=392 cm2

Hence, the lateral surface area of the given cuboidal box is 392 cm2.

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