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The length of the longest pole that can be placed in a room which is 12 meters long, 9 meters wide and 8 meters high, is
- a)864 meters
- b)10 meters
- c)17 meters
- d)43 meters
- e)None of the above
Correct answer is option 'C'. Can you explain this answer?
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The length of the longest pole that can be placed in a room which is ...
The length of the longest pole rod that can be placed in a cubical room is the diagonal of the room
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Hence, the correct option is (c).
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The length of the longest pole that can be placed in a room which is ...
To determine the length of the longest pole that can be placed in the room, we need to find the diagonal of the room. This can be done by using the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
Given:
Length of the room = 12 meters
Width of the room = 9 meters
Height of the room = 8 meters
Step 1: Find the diagonal of the floor
Using the Pythagorean theorem, we can find the diagonal of the floor:
diagonal of the floor = √(length^2 + width^2)
= √(12^2 + 9^2)
= √(144 + 81)
= √225
= 15 meters
Step 2: Find the diagonal of the room
Using the Pythagorean theorem, we can find the diagonal of the room:
diagonal of the room = √(diagonal of the floor^2 + height^2)
= √(15^2 + 8^2)
= √(225 + 64)
= √289
= 17 meters
Therefore, the length of the longest pole that can be placed in the room is 17 meters. The correct answer is option C.
Given:
Length of the room = 12 meters
Width of the room = 9 meters
Height of the room = 8 meters
Step 1: Find the diagonal of the floor
Using the Pythagorean theorem, we can find the diagonal of the floor:
diagonal of the floor = √(length^2 + width^2)
= √(12^2 + 9^2)
= √(144 + 81)
= √225
= 15 meters
Step 2: Find the diagonal of the room
Using the Pythagorean theorem, we can find the diagonal of the room:
diagonal of the room = √(diagonal of the floor^2 + height^2)
= √(15^2 + 8^2)
= √(225 + 64)
= √289
= 17 meters
Therefore, the length of the longest pole that can be placed in the room is 17 meters. The correct answer is option C.
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The length of the longest pole that can be placed in a room which is 12 meters long, 9 meters wide and 8 meters high, isa)864 metersb)10 metersc)17 metersd)43 meterse)None of the aboveCorrect answer is option 'C'. Can you explain this answer?
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