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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?
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A parallelogram is extruded outwards with the axis inclined at some an...
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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.
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A parallelogram is extruded outwards with the axis inclined at some an...
Parallelopiped
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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?
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