Question

The length of a cuboid is one more than its breadth and the perimeter of its base is 18 cm. If its

lateral surface area is 54 sq. cm, find the volume of the cuboid.

Answer 1

60 cm^3

Explanation:

The computation of the volume of the cuboid is given below:

let us assume the length be l

and b the breadth

So

l = b + 1

And, the perimeter is

2(l + b) = 18

2l + 2b = 18

2b + 2 + 2b = 18

b = 4

And l = 5

Now

2(l + b) × h = 54

2(5 + 4 ) × h = 54

h = 3

Now the volume of the cuboid is

= l × b × h

= 5 × 4 × 3

= 60 cm^3