GATE Exam > GATE Questions > A cube shaped casting solidifies in 5 minutes...
Start Learning for Free
A cube shaped casting solidifies in 5 minutes. The solidification time in minutes for a cube of the same material, which is 8 times heavier than the original casting will be
- a)10
- b)20
- c)24
- d)40
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A cube shaped casting solidifies in 5 minutes. The solidification time...
Most Upvoted Answer
A cube shaped casting solidifies in 5 minutes. The solidification time...
Problem Analysis:
- A cube shaped casting solidifies in 5 minutes.
- A cube of the same material, which is 8 times heavier than the original casting, is considered.
- We need to find the solidification time for this larger cube.
Solution:
Let's assume the solidification time for the larger cube is 't' minutes.
Relation between solidification time and volume:
- The solidification time is directly proportional to the volume of the casting.
- If the volume of a casting is 'V' and its solidification time is 't', then for a casting with 8 times the volume (i.e., 8V), the solidification time will be '8t'.
Relation between volume and weight:
- For a cube, the volume is directly proportional to the cube of its side length.
- If the side length of a cube is 'a' and its weight is 'W', then for a cube with 8 times the weight (i.e., 8W), the side length will become '2a' (since weight is proportional to the cube of the side length).
- Therefore, the volume of the larger cube will become (2a)^3 = 8a^3.
Relation between weight and solidification time:
- From the given information, we know that the weight of the larger cube is 8 times the weight of the original casting.
- Since the solidification time is directly proportional to the weight, the solidification time for the larger cube will also be 8 times the solidification time for the original casting.
Combining the above relations:
- We have the solidification time for the original casting as 5 minutes.
- The solidification time for the larger cube is 8 times the solidification time for the original casting.
- Therefore, the solidification time for the larger cube is 8 * 5 = 40 minutes.
Final Answer:
Therefore, the solidification time for a cube of the same material, which is 8 times heavier than the original casting, will be 40 minutes. (Option D)
- A cube shaped casting solidifies in 5 minutes.
- A cube of the same material, which is 8 times heavier than the original casting, is considered.
- We need to find the solidification time for this larger cube.
Solution:
Let's assume the solidification time for the larger cube is 't' minutes.
Relation between solidification time and volume:
- The solidification time is directly proportional to the volume of the casting.
- If the volume of a casting is 'V' and its solidification time is 't', then for a casting with 8 times the volume (i.e., 8V), the solidification time will be '8t'.
Relation between volume and weight:
- For a cube, the volume is directly proportional to the cube of its side length.
- If the side length of a cube is 'a' and its weight is 'W', then for a cube with 8 times the weight (i.e., 8W), the side length will become '2a' (since weight is proportional to the cube of the side length).
- Therefore, the volume of the larger cube will become (2a)^3 = 8a^3.
Relation between weight and solidification time:
- From the given information, we know that the weight of the larger cube is 8 times the weight of the original casting.
- Since the solidification time is directly proportional to the weight, the solidification time for the larger cube will also be 8 times the solidification time for the original casting.
Combining the above relations:
- We have the solidification time for the original casting as 5 minutes.
- The solidification time for the larger cube is 8 times the solidification time for the original casting.
- Therefore, the solidification time for the larger cube is 8 * 5 = 40 minutes.
Final Answer:
Therefore, the solidification time for a cube of the same material, which is 8 times heavier than the original casting, will be 40 minutes. (Option D)
|
Explore Courses for GATE exam
|
|
Similar GATE Doubts
A cube shaped casting solidifies in 5 minutes. The solidification time in minutesfor a cube of the same material, which is 8 times heavier than the original castingwill bea)10b)20c)24d)40Correct answer is option 'B'. Can you explain this answer?
Question Description
A cube shaped casting solidifies in 5 minutes. The solidification time in minutesfor a cube of the same material, which is 8 times heavier than the original castingwill bea)10b)20c)24d)40Correct answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A cube shaped casting solidifies in 5 minutes. The solidification time in minutesfor a cube of the same material, which is 8 times heavier than the original castingwill bea)10b)20c)24d)40Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cube shaped casting solidifies in 5 minutes. The solidification time in minutesfor a cube of the same material, which is 8 times heavier than the original castingwill bea)10b)20c)24d)40Correct answer is option 'B'. Can you explain this answer?.
A cube shaped casting solidifies in 5 minutes. The solidification time in minutesfor a cube of the same material, which is 8 times heavier than the original castingwill bea)10b)20c)24d)40Correct answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A cube shaped casting solidifies in 5 minutes. The solidification time in minutesfor a cube of the same material, which is 8 times heavier than the original castingwill bea)10b)20c)24d)40Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cube shaped casting solidifies in 5 minutes. The solidification time in minutesfor a cube of the same material, which is 8 times heavier than the original castingwill bea)10b)20c)24d)40Correct answer is option 'B'. Can you explain this answer?.
Solutions for A cube shaped casting solidifies in 5 minutes. The solidification time in minutesfor a cube of the same material, which is 8 times heavier than the original castingwill bea)10b)20c)24d)40Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
Here you can find the meaning of A cube shaped casting solidifies in 5 minutes. The solidification time in minutesfor a cube of the same material, which is 8 times heavier than the original castingwill bea)10b)20c)24d)40Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A cube shaped casting solidifies in 5 minutes. The solidification time in minutesfor a cube of the same material, which is 8 times heavier than the original castingwill bea)10b)20c)24d)40Correct answer is option 'B'. Can you explain this answer?, a detailed solution for A cube shaped casting solidifies in 5 minutes. The solidification time in minutesfor a cube of the same material, which is 8 times heavier than the original castingwill bea)10b)20c)24d)40Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of A cube shaped casting solidifies in 5 minutes. The solidification time in minutesfor a cube of the same material, which is 8 times heavier than the original castingwill bea)10b)20c)24d)40Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A cube shaped casting solidifies in 5 minutes. The solidification time in minutesfor a cube of the same material, which is 8 times heavier than the original castingwill bea)10b)20c)24d)40Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice GATE tests.
|
|
Explore Courses for GATE exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup