Class 8 Exam > Class 8 Questions > A parallelogram is extruded outwards with the...
Start Learning for Free
A parallelogram is extruded outwards with the axis inclined at some angle with the vertical. The resulting figure will be :
- a)Cuboid
- b)Parallelopiped
- c)Parallelex
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A parallelogram is extruded outwards with the axis inclined at some an...
Most Upvoted Answer
A parallelogram is extruded outwards with the axis inclined at some an...
Explanation:
To understand why the resulting figure is a parallelepiped, let's break down the process step by step.
Step 1: Start with a parallelogram in the XY plane.
A parallelogram is a quadrilateral with opposite sides parallel. In this case, the parallelogram is in the XY plane, which means its sides are parallel to the X and Y axes.
Step 2: Extrude the parallelogram outwards.
Extruding a shape means extending it in a specific direction. In this case, we are extruding the parallelogram outwards, perpendicular to the XY plane. This means that each point on the parallelogram is moved along a line that is perpendicular to the XY plane.
Step 3: The axis of extrusion is inclined at some angle with the vertical.
The axis of extrusion refers to the line along which we are extending the parallelogram. In this case, the axis is inclined at some angle with the vertical. This means that the axis is not perfectly vertical but tilted at an angle.
Step 4: The resulting figure is a parallelepiped.
A parallelepiped is a three-dimensional figure with six faces, each of which is a parallelogram. It has opposite faces that are congruent and parallel. When we extrude the parallelogram outwards along an inclined axis, we obtain a shape that satisfies these conditions, making it a parallelepiped.
Conclusion:
Based on the given information, the resulting figure when a parallelogram is extruded outwards with the axis inclined at some angle with the vertical is a parallelepiped.
To understand why the resulting figure is a parallelepiped, let's break down the process step by step.
Step 1: Start with a parallelogram in the XY plane.
A parallelogram is a quadrilateral with opposite sides parallel. In this case, the parallelogram is in the XY plane, which means its sides are parallel to the X and Y axes.
Step 2: Extrude the parallelogram outwards.
Extruding a shape means extending it in a specific direction. In this case, we are extruding the parallelogram outwards, perpendicular to the XY plane. This means that each point on the parallelogram is moved along a line that is perpendicular to the XY plane.
Step 3: The axis of extrusion is inclined at some angle with the vertical.
The axis of extrusion refers to the line along which we are extending the parallelogram. In this case, the axis is inclined at some angle with the vertical. This means that the axis is not perfectly vertical but tilted at an angle.
Step 4: The resulting figure is a parallelepiped.
A parallelepiped is a three-dimensional figure with six faces, each of which is a parallelogram. It has opposite faces that are congruent and parallel. When we extrude the parallelogram outwards along an inclined axis, we obtain a shape that satisfies these conditions, making it a parallelepiped.
Conclusion:
Based on the given information, the resulting figure when a parallelogram is extruded outwards with the axis inclined at some angle with the vertical is a parallelepiped.
Free Test
FREE
| Start Free Test |
Community Answer
A parallelogram is extruded outwards with the axis inclined at some an...
Parallelopiped
|
Explore Courses for Class 8 exam
|
|
Top Courses for Class 8View all
Question Description
A parallelogram is extruded outwards with the axis inclined at some angle with the vertical. The resulting figure will be :a)Cuboidb)Parallelopipedc)Parallelexd)None of theseCorrect answer is option 'B'. Can you explain this answer? for Class 8 2025 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A parallelogram is extruded outwards with the axis inclined at some angle with the vertical. The resulting figure will be :a)Cuboidb)Parallelopipedc)Parallelexd)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 8 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A parallelogram is extruded outwards with the axis inclined at some angle with the vertical. The resulting figure will be :a)Cuboidb)Parallelopipedc)Parallelexd)None of theseCorrect answer is option 'B'. Can you explain this answer?.
A parallelogram is extruded outwards with the axis inclined at some angle with the vertical. The resulting figure will be :a)Cuboidb)Parallelopipedc)Parallelexd)None of theseCorrect answer is option 'B'. Can you explain this answer? for Class 8 2025 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A parallelogram is extruded outwards with the axis inclined at some angle with the vertical. The resulting figure will be :a)Cuboidb)Parallelopipedc)Parallelexd)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 8 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A parallelogram is extruded outwards with the axis inclined at some angle with the vertical. The resulting figure will be :a)Cuboidb)Parallelopipedc)Parallelexd)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Solutions for A parallelogram is extruded outwards with the axis inclined at some angle with the vertical. The resulting figure will be :a)Cuboidb)Parallelopipedc)Parallelexd)None of theseCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 8.
Download more important topics, notes, lectures and mock test series for Class 8 Exam by signing up for free.
Here you can find the meaning of A parallelogram is extruded outwards with the axis inclined at some angle with the vertical. The resulting figure will be :a)Cuboidb)Parallelopipedc)Parallelexd)None of theseCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A parallelogram is extruded outwards with the axis inclined at some angle with the vertical. The resulting figure will be :a)Cuboidb)Parallelopipedc)Parallelexd)None of theseCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A parallelogram is extruded outwards with the axis inclined at some angle with the vertical. The resulting figure will be :a)Cuboidb)Parallelopipedc)Parallelexd)None of theseCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A parallelogram is extruded outwards with the axis inclined at some angle with the vertical. The resulting figure will be :a)Cuboidb)Parallelopipedc)Parallelexd)None of theseCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A parallelogram is extruded outwards with the axis inclined at some angle with the vertical. The resulting figure will be :a)Cuboidb)Parallelopipedc)Parallelexd)None of theseCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Class 8 tests.
|
|
Explore Courses for Class 8 exam
|
|
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 on EduRev and stay on top of your study goals
10M+ students crushing their study goals daily