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)

Question

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)

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ Consider the properties of a right pyramid with a square base. ‖ ‖ 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.⚹◊What is the formula to find the area of a triangle given the base and height?⍭ Generate me a similar question◊

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