A rectangular room is long

MATHEMATICS · Multi-part · CBSE · Mathematics · Introduction to Three-Dimensional Geometry · Introduction to Three-Dimensional Geometry

Problem

A rectangular room is 8 m8\,\text{m} long, 6 m6\,\text{m} wide and 3 m3\,\text{m} high. (i) Calculate the length of the diagonal across the floor of the room. (ii) Hence determine the least length of a ladder that can be placed with one end on the floor at one corner and the other end touching the ceiling at the diagonally opposite corner. (iii) If ladders are sold only in whole metres, state the minimum length of ladder that must be purchased.

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