Class 9 Exam > Class 9 Questions > Direction: In the following questions, a sta...
Start Learning for Free
Direction: In the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct answer as
Assertion : The external dimensions of a wooden box are 18 cm, 10 cm and 6 cm respectively and thickness of the wood is 15 mm, then the internal volume is 765 cm3.
Reason : If external dimensions of a rectangular box be l, b and h and the thickness of its sides be x , then its internal volume is (l - 2x) (b - 2x) (h - 2x).
- a)Both assertion and reason are true and reason is the correct explanation of assertion.
- b)Both assertion and reason are true but reason is not the correct explanation of assertion.
- c)Assertion is true but reason is false.
- d)Assertion is false but reason is true.
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Direction: In the following questions, a statement of Assertion is gi...
Length of box = 18 cm
View all questions of this test
Width of box = 10 cm
Height of box = 6 cm
thickness of box = 5 mm = 1/2 cm
Internal length, width, height of the box is
Internal volume of box = 17 x 9 x 5
= 765 cm3
Most Upvoted Answer
Direction: In the following questions, a statement of Assertion is gi...
Assertion: The external dimensions of a wooden box are 18 cm, 10 cm, and 6 cm respectively, and the thickness of the wood is 15 mm. The internal volume is 765 cm3.
Reason: If the external dimensions of a rectangular box are l, b, and h, and the thickness of its sides is x, then its internal volume is (l - 2x) (b - 2x) (h - 2x).
Explanation:
To understand the assertion and reason given in the question, let's break it down step by step.
Step 1: Calculate the internal dimensions of the wooden box.
The external dimensions are given as 18 cm, 10 cm, and 6 cm. The thickness of the wood is 15 mm, which is equal to 1.5 cm.
To find the internal dimensions, we need to subtract twice the thickness from each external dimension.
Internal length = External length - 2 * thickness = 18 cm - 2 * 1.5 cm = 15 cm
Internal breadth = External breadth - 2 * thickness = 10 cm - 2 * 1.5 cm = 7 cm
Internal height = External height - 2 * thickness = 6 cm - 2 * 1.5 cm = 3 cm
Step 2: Calculate the internal volume of the wooden box.
The internal volume of a rectangular box is given by the formula:
Internal volume = Internal length * Internal breadth * Internal height
Substituting the values we calculated in Step 1:
Internal volume = 15 cm * 7 cm * 3 cm = 315 cm3
Step 3: Compare the calculated internal volume with the given volume in the assertion.
The calculated internal volume is 315 cm3, which does not match the given volume of 765 cm3 in the assertion.
Conclusion:
The assertion is false because the calculated internal volume does not match the given volume. Therefore, the correct answer is option 'C' - Assertion is true but the reason is false.
Reason: If the external dimensions of a rectangular box are l, b, and h, and the thickness of its sides is x, then its internal volume is (l - 2x) (b - 2x) (h - 2x).
Explanation:
To understand the assertion and reason given in the question, let's break it down step by step.
Step 1: Calculate the internal dimensions of the wooden box.
The external dimensions are given as 18 cm, 10 cm, and 6 cm. The thickness of the wood is 15 mm, which is equal to 1.5 cm.
To find the internal dimensions, we need to subtract twice the thickness from each external dimension.
Internal length = External length - 2 * thickness = 18 cm - 2 * 1.5 cm = 15 cm
Internal breadth = External breadth - 2 * thickness = 10 cm - 2 * 1.5 cm = 7 cm
Internal height = External height - 2 * thickness = 6 cm - 2 * 1.5 cm = 3 cm
Step 2: Calculate the internal volume of the wooden box.
The internal volume of a rectangular box is given by the formula:
Internal volume = Internal length * Internal breadth * Internal height
Substituting the values we calculated in Step 1:
Internal volume = 15 cm * 7 cm * 3 cm = 315 cm3
Step 3: Compare the calculated internal volume with the given volume in the assertion.
The calculated internal volume is 315 cm3, which does not match the given volume of 765 cm3 in the assertion.
Conclusion:
The assertion is false because the calculated internal volume does not match the given volume. Therefore, the correct answer is option 'C' - Assertion is true but the reason is false.
Attention Class 9 Students!
To make sure you are not studying endlessly, EduRev has designed Class 9 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 9.
|
Explore Courses for Class 9 exam
|
|
Similar Class 9 Doubts
Top Courses for Class 9View all
Direction: In the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct answer asAssertion : The external dimensions of a wooden box are 18 cm, 10 cm and 6 cm respectively and thickness of the wood is 15 mm, then the internal volume is 765 cm3.Reason : If external dimensions of a rectangular box be l, b and h and the thickness of its sides be x , then its internal volume is (l - 2x) (b - 2x) (h - 2x).a)Both assertion and reason are true and reason is the correct explanation of assertion.b)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Assertion is false but reason is true.Correct answer is option 'A'. Can you explain this answer?
Question Description
Direction: In the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct answer asAssertion : The external dimensions of a wooden box are 18 cm, 10 cm and 6 cm respectively and thickness of the wood is 15 mm, then the internal volume is 765 cm3.Reason : If external dimensions of a rectangular box be l, b and h and the thickness of its sides be x , then its internal volume is (l - 2x) (b - 2x) (h - 2x).a)Both assertion and reason are true and reason is the correct explanation of assertion.b)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Assertion is false but reason is true.Correct answer is option 'A'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Direction: In the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct answer asAssertion : The external dimensions of a wooden box are 18 cm, 10 cm and 6 cm respectively and thickness of the wood is 15 mm, then the internal volume is 765 cm3.Reason : If external dimensions of a rectangular box be l, b and h and the thickness of its sides be x , then its internal volume is (l - 2x) (b - 2x) (h - 2x).a)Both assertion and reason are true and reason is the correct explanation of assertion.b)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Assertion is false but reason is true.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: In the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct answer asAssertion : The external dimensions of a wooden box are 18 cm, 10 cm and 6 cm respectively and thickness of the wood is 15 mm, then the internal volume is 765 cm3.Reason : If external dimensions of a rectangular box be l, b and h and the thickness of its sides be x , then its internal volume is (l - 2x) (b - 2x) (h - 2x).a)Both assertion and reason are true and reason is the correct explanation of assertion.b)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Assertion is false but reason is true.Correct answer is option 'A'. Can you explain this answer?.
Direction: In the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct answer asAssertion : The external dimensions of a wooden box are 18 cm, 10 cm and 6 cm respectively and thickness of the wood is 15 mm, then the internal volume is 765 cm3.Reason : If external dimensions of a rectangular box be l, b and h and the thickness of its sides be x , then its internal volume is (l - 2x) (b - 2x) (h - 2x).a)Both assertion and reason are true and reason is the correct explanation of assertion.b)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Assertion is false but reason is true.Correct answer is option 'A'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Direction: In the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct answer asAssertion : The external dimensions of a wooden box are 18 cm, 10 cm and 6 cm respectively and thickness of the wood is 15 mm, then the internal volume is 765 cm3.Reason : If external dimensions of a rectangular box be l, b and h and the thickness of its sides be x , then its internal volume is (l - 2x) (b - 2x) (h - 2x).a)Both assertion and reason are true and reason is the correct explanation of assertion.b)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Assertion is false but reason is true.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: In the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct answer asAssertion : The external dimensions of a wooden box are 18 cm, 10 cm and 6 cm respectively and thickness of the wood is 15 mm, then the internal volume is 765 cm3.Reason : If external dimensions of a rectangular box be l, b and h and the thickness of its sides be x , then its internal volume is (l - 2x) (b - 2x) (h - 2x).a)Both assertion and reason are true and reason is the correct explanation of assertion.b)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Assertion is false but reason is true.Correct answer is option 'A'. Can you explain this answer?.
Solutions for Direction: In the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct answer asAssertion : The external dimensions of a wooden box are 18 cm, 10 cm and 6 cm respectively and thickness of the wood is 15 mm, then the internal volume is 765 cm3.Reason : If external dimensions of a rectangular box be l, b and h and the thickness of its sides be x , then its internal volume is (l - 2x) (b - 2x) (h - 2x).a)Both assertion and reason are true and reason is the correct explanation of assertion.b)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Assertion is false but reason is true.Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 9.
Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
Here you can find the meaning of Direction: In the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct answer asAssertion : The external dimensions of a wooden box are 18 cm, 10 cm and 6 cm respectively and thickness of the wood is 15 mm, then the internal volume is 765 cm3.Reason : If external dimensions of a rectangular box be l, b and h and the thickness of its sides be x , then its internal volume is (l - 2x) (b - 2x) (h - 2x).a)Both assertion and reason are true and reason is the correct explanation of assertion.b)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Assertion is false but reason is true.Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Direction: In the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct answer asAssertion : The external dimensions of a wooden box are 18 cm, 10 cm and 6 cm respectively and thickness of the wood is 15 mm, then the internal volume is 765 cm3.Reason : If external dimensions of a rectangular box be l, b and h and the thickness of its sides be x , then its internal volume is (l - 2x) (b - 2x) (h - 2x).a)Both assertion and reason are true and reason is the correct explanation of assertion.b)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Assertion is false but reason is true.Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Direction: In the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct answer asAssertion : The external dimensions of a wooden box are 18 cm, 10 cm and 6 cm respectively and thickness of the wood is 15 mm, then the internal volume is 765 cm3.Reason : If external dimensions of a rectangular box be l, b and h and the thickness of its sides be x , then its internal volume is (l - 2x) (b - 2x) (h - 2x).a)Both assertion and reason are true and reason is the correct explanation of assertion.b)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Assertion is false but reason is true.Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Direction: In the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct answer asAssertion : The external dimensions of a wooden box are 18 cm, 10 cm and 6 cm respectively and thickness of the wood is 15 mm, then the internal volume is 765 cm3.Reason : If external dimensions of a rectangular box be l, b and h and the thickness of its sides be x , then its internal volume is (l - 2x) (b - 2x) (h - 2x).a)Both assertion and reason are true and reason is the correct explanation of assertion.b)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Assertion is false but reason is true.Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Direction: In the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct answer asAssertion : The external dimensions of a wooden box are 18 cm, 10 cm and 6 cm respectively and thickness of the wood is 15 mm, then the internal volume is 765 cm3.Reason : If external dimensions of a rectangular box be l, b and h and the thickness of its sides be x , then its internal volume is (l - 2x) (b - 2x) (h - 2x).a)Both assertion and reason are true and reason is the correct explanation of assertion.b)Both assertion and reason are true but reason is not the correct explanation of assertion.c)Assertion is true but reason is false.d)Assertion is false but reason is true.Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Class 9 tests.
|
|
Explore Courses for Class 9 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
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup