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Question
Math
Posted 2 months ago

The figure below shows a right pyramid whose base is a square.

Note: Figure not to scale.
Which shape does the intersection of the horizontal plane with the pyramid look like?

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Answer from Sia
Posted 2 months ago
Solution by Steps
step 2
When a horizontal plane intersects a right pyramid, the shape of the intersection depends on the height at which the plane intersects the pyramid
step 3
If the plane intersects the pyramid below the apex but above the base, the intersection will be a smaller square
step 4
Since the base of the pyramid is a square, any horizontal slice (parallel to the base) will also be a square
A
Key Concept
Intersection of a horizontal plane with a right pyramid
Explanation
When a horizontal plane intersects a right pyramid with a square base, the intersection is a square if the plane is parallel to the base and below the apex.

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