Mathematics

Mathematics

Problem

A school is converting a large rectangular room (length 25 m25\,\text{m}, width 12 m12\,\text{m}, height 6 m6\,\text{m}) into a multipurpose auditorium for morning assemblies and cultural programmes. The room at present has plain concrete walls, a polished marble floor, and a bare ceiling. a. (i) From the following list choose any three materials that would be \suitable for reducing excessive reverberation in the auditorium: glazed tiles, thick carpets, heavy curtains, glass mirrors, cork panels, cushioned seats. b. (ii) For each chosen material, explain briefly how its presence inside the hall will help to control reverberation. c. (iii) Suggest one practical location in the auditorium where each of the selected materials should be installed for maximum effectiveness, and justify your choice.

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