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Directions: Answer the question on the basis of the following information.
In the figure given below of a cubical prison cell, ABCD are corners of a cubical prison's floor and P is the initial position of the prisoner. It is given that the area of the floor is same as the perimeter of the roof. (Note: P is at same distance from all the corners.)
Q. If the prisoner wants to move from P to D, what distance will he have to cover?
  • a)
    2√3
  • b)
    4√2
  • c)
    3√2
  • d)
    2√2
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Directions: Answer the question on the basis of the following informat...
- Understanding the Problem:
- Given a cubical prison cell with corners A, B, C, D on the floor and the initial position of the prisoner at point P.
- The area of the floor is equal to the perimeter of the roof.
- The prisoner wants to move from point P to point D.

- Analyzing the Situation:
- Since the area of the floor is equal to the perimeter of the roof, the floor's area = AB x BC.
- Let's assume the length of one side of the cube is 'a'.
- Therefore, AB x BC = a x a = a2.
- The perimeter of the roof = 4 x (side length of the cube) = 4a.

- Calculating the Distance:
- As the prisoner is equidistant from all corners of the floor, the distance from P to any corner (A, B, C, D) will be equal.
- The distance from P to any corner can be calculated using the Pythagorean theorem.
- In this case, the distance from P to D can be calculated as:
- PD = sqrt(AD2 + AP2)
- Since AD = a and AP = a (as P is equidistant from all corners),
- PD = √(a2 + a2) = √(2a2) = √(2) x a = √(2) x side length of the cube.

- Final Answer:
- Therefore, the distance the prisoner will have to cover to move from P to D is 2√2 times the side length of the cube.
- Hence, the correct answer is option D: 2√2.
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Directions: Answer the question on the basis of the following information.In the figure given below of a cubical prison cell, ABCD are corners of a cubical prisons floor and P is the initial position of the prisoner. It is given that the area of the floor is same as the perimeter of the roof. (Note: P is at same distance from all the corners.)Q. If the prisoner wants to move from P to D, what distance will he have to cover?a)2√3b)4√2c)3√2d)2√2Correct answer is option 'D'. Can you explain this answer?
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Directions: Answer the question on the basis of the following information.In the figure given below of a cubical prison cell, ABCD are corners of a cubical prisons floor and P is the initial position of the prisoner. It is given that the area of the floor is same as the perimeter of the roof. (Note: P is at same distance from all the corners.)Q. If the prisoner wants to move from P to D, what distance will he have to cover?a)2√3b)4√2c)3√2d)2√2Correct answer is option 'D'. Can you explain this answer? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about Directions: Answer the question on the basis of the following information.In the figure given below of a cubical prison cell, ABCD are corners of a cubical prisons floor and P is the initial position of the prisoner. It is given that the area of the floor is same as the perimeter of the roof. (Note: P is at same distance from all the corners.)Q. If the prisoner wants to move from P to D, what distance will he have to cover?a)2√3b)4√2c)3√2d)2√2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Answer the question on the basis of the following information.In the figure given below of a cubical prison cell, ABCD are corners of a cubical prisons floor and P is the initial position of the prisoner. It is given that the area of the floor is same as the perimeter of the roof. (Note: P is at same distance from all the corners.)Q. If the prisoner wants to move from P to D, what distance will he have to cover?a)2√3b)4√2c)3√2d)2√2Correct answer is option 'D'. Can you explain this answer?.
Solutions for Directions: Answer the question on the basis of the following information.In the figure given below of a cubical prison cell, ABCD are corners of a cubical prisons floor and P is the initial position of the prisoner. It is given that the area of the floor is same as the perimeter of the roof. (Note: P is at same distance from all the corners.)Q. If the prisoner wants to move from P to D, what distance will he have to cover?a)2√3b)4√2c)3√2d)2√2Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for CLAT. Download more important topics, notes, lectures and mock test series for CLAT Exam by signing up for free.
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