What two-dimensional shapes could be the cross section of a cube sliced by a plane in any direction? I. square II. triangle III. trapezoid A 1, only B I and II, only C and III, only D I, II, and III​

Respuesta :

Answer:

Trapezoid

Step-by-step explanation:

The two-dimensional shapes could be the cross-section of a cube sliced by a plane in any direction is square and triangle. Option B is correct.

How cross-section formed by intersection of plane with solid?

When a 2 dimensional plane figure at any angle is intersected, a solid object, a cross-section is formed. The shape of this cross-section is based on the type of plane, its angle of intersect and type of solid.

Now, when a cube sliced by a plane in any direction, the following cross section is formed-

  • If the angle of plane is relative to the base by opposite faces, then the cross-section is formed is a rectangle.
  • When the angle of plane is relative to the one face of cube, then the cross-section formed will be a square.
  • With the side angle (relative to corner), a triangle is formed.

Thus, the two-dimensional shapes could be the cross-section of a cube sliced by a plane in any direction is square and triangle. Option B is correct.

Learn more about the intersection of plane with solid here:

https://brainly.com/question/1646172

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