Q47 of 50 Page 220

Fill in the blanks

The length of the longest piece of a string that can be stretched straight in a rectangular room whose dimensions are 10, 13 and 8 units are ______.

√333

Explanation:


The longest string that can be stretched straight inside a rectangular room is going to be the diagonal of the room.


Length of diagonal of a rectangular room of length ‘l’, breadth ‘w’ and height ‘h’ is given by –


∴ longest piece of string that can be stretched =


= √(100+169+64)


= √333


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