g In a cold rolling operation, steel sheets that are initially 300 cm long X 80 cm wide X 8 cm thick are cold worked to 80 cm wide X 5 cm thick. What is the % cold working performed on this steel?

100% cold working performed on this steel

Explanation:

Using the constant volume assumption:

L₀W₀t₀ (initial) = Lₐ Wₐ tₐ (final)

thus 300 cm long X 80 cm wide X 8 cm thick = Lₐ x 80 cm wide X 5 cm thick

Lₐ = 300 cm long X 80 cm wide X 8 cm thick/80 cm wide X 5 cm thick

=480 cm

% cold working performed on this steel = Lₐ Wₐ tₐ (final) / L₀W₀t₀ (initial) 8 100

= 480 x 80 x 5 / 300 x 80 x 8 * 100 = 100%