Question

How many different ways can a cube be sliced into 2 equal halves?

Answer 1

Answer: There are 15! /2 are the ways can a cube be sliced into 2 equal halves.

@Mayuraarav

Answer 2

QUESTION:-

How many different ways can a cube be sliced into 2 equal halves?

ANSWER:-

In 5 different ways can a cube be sliced into 2 equal halves

The cube can be cut into 2 equal halves only if the plane cuts through the center of the cube. Also, the 2 halves cannot be equal in volume, but they can be congruent, and the cross-section of the cube in the plane of the slice, will have a 2-fold rotational proportion.

Different Ways Can A Cube Be Sliced Into 2 Equal Halves

1. Convex hexagon which can be regular or irregular depending on the orientation of the plane concerning the cube.
2. Cross sections of a cube a single points which include a vertex of the cube.
3. A triangle is when three adjacent faces of the cube are intersected.
4. A parallelogram is when two pairs of opposite faces are intersected and it includes a rhombus or rectangle
5. A trapezium is two pairs of convex quadrilaterals.

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