A rectangular metal sheet is of length 24 cm and breadth 18 cm. From each of its corners a square of side x cm is cut off and an open box is made of the remaining sheet. If the volume of the box is 640 cubic cm, then what is the value of x ?

Given:

Length of a rectangular metal sheet = 24 cm

The breadth of a rectangular sheet = 18 cm

Formula used:

The volume of cuboid = lbh

Where, l = length, b = breadth and h = height

Calculation:

As shown in the above figures,

Length of box = (24 – 2x)

Breadth of box = (18 – 2x)

Height of box = x

The volume of the box = lbh

⇒ (24 – 2x)(18 – 2x)(x) = 640

From Option (3): If x = 4

⇒ 16 × 10 × 4 = 640

∴ The correct value of x is 4.