Question

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Select all that apply.
Which of these polygons is not formed by the cross-section created when a plane intersects a cube?
Select all that are possible.
-square
-circle
-pentagon
-trapezoid
-triangle
-rectangle

Answer 1

The polygons that are NOT formed when a cube is intersected by a plane would be

circle
pentagon

square, trapezoid, triangle, and rectangle would all be possible.

Answer 2

The circle cannot be formed.

Explanation:

The polygons that are NOT formed when a cube is intersected by a plane would be : circle

A cube has only six plane faces, it is impossible that a plane can intersect a cube and create a cross section with a curved face. So a circle cannot be formed.

A square is formed when a cube is intersected by a plane parallel to its base.

A rectangle is formed when a cube is intersected by a plane in two pairs of opposite faces.

A triangle is formed when a cube is intersected by a plane in three adjacent faces.