Solved Step by step with explanation: The object in question is a rectangular prism made of solid iron

Apologies for the confusion. Let's calculate the values using the given data:

Given:

a = 100 mm

b = 200 mm

E = 120 GPa = 120,000,000,000 Pa

a = 100 mm = 0.1 m

ΔLx = (P * lx) / (E * (1 - ν^2))

= (4,000,000 N * 0.1 m) / (120,000,000,000 Pa * (1 - 0.3^2))

≈ 0.0008333 m

Axial deformation along the z-axis:

Initial volume:

V = a * b * c

= V * (εx + εy + εz)

= V * (ΔLx / lx + ΔLy / ly + ΔLz / lz)