Question

Find the length of largest rod that can be placed in Hall is 20m long, 20m board and 10 m high.

Answer 1

The question requires few corrections:

Find the length of largest rod that can be placed in Hall is 20m long, 20m broad and 10 m high.


Information provided to us:

Length of the hall, l = 20 m
Breath of the hall, b = 20 m
Height of the hall, h = 10 m

Remember, whenever we are asked to find the length of the largest rod which can be placed in a three dimensional shape, we are supposed to find the length of its diagonal.

Here too, we are supposed to find the length of diagonal.

We know that, the length of diagonal of a cuboidal room is equal to the square root of the sum of the square of its length, breadth and height.

Diagonal = √ ( l ^ 2 + b ^ 2 + h ^ 2 )
Diagonal = √ ( 20 ^ 2 + 20 ^ 2 + 10 ^ 2 )
Diagonal = √ ( 400 + 400 + 100 )
Diagonal = √ 900
Diagonal = 30 m

Hence,

The largest rod that can be placed the given hall will be of length 30 m.

Answer 2

hey mate!

This is a cuboid , and we know the longest rod in it, is same as diagonal.

diagonal = √l² + b² + h²

= √(20)² + (20)² + (10)²

= √900

= 30 cm.

Hope it helps you!