Question

Math

Posted 6 months ago

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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?
Choose 1 answer:
(A)
(B)
(C)
(D)
```

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Answer from Sia

Posted 6 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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