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The length, breadth and height of a room are 21 metres, 12 metres and 16 metres. What will be the length of the largest rod that can be placed in that room?
- a)32 meters
- b)25 meters
- c)31 meters
- d)29 meters
Correct answer is option 'D'. Can you explain this answer?
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The length, breadth and height of a room are 21 metres, 12 metres and...
Given
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The length, breadth and height of a room is 21 metres, 12 metres and 16 metres.
Diagonal of a room
Using the above formulae, we have
Diagonal of a room
⇒ Diagonal of a room
⇒ Diagonal of a room
⇒ Diagonal of a room = 29 metres
∴ Length of the largest rod that can be placed in that room = 29 meters.
Hence, the correct option is (D).
Most Upvoted Answer
The length, breadth and height of a room are 21 metres, 12 metres and...
Given
The length, breadth and height of a room is 21 metres, 12 metres and 16 metres.
Diagonal of a room
Using the above formulae, we have
Diagonal of a room
⇒ Diagonal of a room
⇒ Diagonal of a room
⇒ Diagonal of a room = 29 metres
∴ Length of the largest rod that can be placed in that room = 29 meters.
Hence, the correct option is (D).
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The length, breadth and height of a room are 21 metres, 12 metres and...
To find the length of the largest rod that can be placed in the room, we need to determine the diagonal length of the room.
Given:
Length of the room = 21 meters
Breadth of the room = 12 meters
Height of the room = 16 meters
To find the diagonal length, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (diagonal) is equal to the sum of the squares of the other two sides.
Let's consider the length as the base, breadth as the perpendicular, and height as the hypotenuse.
Using the Pythagorean theorem, we have:
(Length)^2 + (Breadth)^2 + (Height)^2 = (Diagonal)^2
Substituting the given values, we get:
(21)^2 + (12)^2 + (16)^2 = (Diagonal)^2
441 + 144 + 256 = (Diagonal)^2
841 = (Diagonal)^2
To find the diagonal, we take the square root of both sides:
√841 = √(Diagonal)^2
29 = Diagonal
Therefore, the length of the largest rod that can be placed in the room is 29 meters.
Hence, the correct answer is option D) 29 meters.
Given:
Length of the room = 21 meters
Breadth of the room = 12 meters
Height of the room = 16 meters
To find the diagonal length, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (diagonal) is equal to the sum of the squares of the other two sides.
Let's consider the length as the base, breadth as the perpendicular, and height as the hypotenuse.
Using the Pythagorean theorem, we have:
(Length)^2 + (Breadth)^2 + (Height)^2 = (Diagonal)^2
Substituting the given values, we get:
(21)^2 + (12)^2 + (16)^2 = (Diagonal)^2
441 + 144 + 256 = (Diagonal)^2
841 = (Diagonal)^2
To find the diagonal, we take the square root of both sides:
√841 = √(Diagonal)^2
29 = Diagonal
Therefore, the length of the largest rod that can be placed in the room is 29 meters.
Hence, the correct answer is option D) 29 meters.
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The length, breadth and height of a room are 21 metres, 12 metres and 16 metres. What will be the length of the largest rod that can be placed in that room?a)32 metersb)25 metersc)31 metersd)29 metersCorrect answer is option 'D'. Can you explain this answer?
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