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The length of the longest pole that can be put in a room of dimensions (10 m × 10 m × 5m) is
a. 15 m
b. 16 m
c. 10 m
d. 12 m

Solution:

Given, dimensions of a room is 10 m × 10 m × 5 m

We have to find the length of the longest pole that can be put in the room.

Given, length of the room, l = 10 m

Breadth of the room, b = 10 m

Height of the room, h = 5 m

We know that the longest pole that can be placed in the room will be equal to the length of the diagonal of the room

Length of longest pole = diagonal of room

Diagonal of room = √l² + b² + h²

= √(10)² + (10)² + (5)²

= √100 + 100 + 25

= √225

= 15 m

Therefore, the length of the longest pole is 15 m.

✦ Try This: The length of the longest pole that can be put in a room of dimensions (20 m × 10 m × 5 m) is

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 13

NCERT Exemplar Class 9 Maths Exercise 13.1 Problem 9

The length of the longest pole that can be put in a room of dimensions (10 m × 10 m × 5m) is a. 15 m, b. 16 m, c. 10 m, d. 12 m

Summary:

The length of the longest pole that can be put in a room of dimensions (10 m × 10 m × 5m) is 15m

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