A warehouse in the form of a cuboid measures in length

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

Problem

A warehouse in the form of a cuboid measures 20 m20\,\text{m} in length, 15 m15\,\text{m} in width and 10 m10\,\text{m} in height. An electrical cable is to be run straight from a point 2 m2\,\text{m} below the ceiling at one upper corner to the floor corner that is farthest from it. (i) Identify the three perpendicular segments that together form a straight path for the cable inside the warehouse. (ii) Show step by step how to calculate the exact length of the required cable. (iii) Give the length correct to the nearest centimetre.

Related theory

Browse the problem library