A museum plans to display a heavy stone sculpture in a wooden gallery hall. The sculpture and its crate together weigh 8000N. The wooden floor can safely withstand a maximum pressure of 4.5kPa without risk of damage.
(i) Determine the minimum area of the crate base that will keep the pressure on the floor within the safe limit.
(ii) The crate is designed as a rectangular base of width 0.80m. Find the minimum length the base must have to satisfy the condition obtained in part (i).
(iii) If another identical sculpture is to be stacked vertically on the same crate, examine whether merely doubling the base area will continue to protect the floor. Support your answer with calculations.
(iv) Suggest any two practical modifications, other than changing the base area, that the curator might adopt to further reduce the pressure on the floor and briefly explain how each works.