Question

If a plane slices a cube through three points that are equidistant from one of its vertices, which of the following best describes the cross-section of the cube?

Answer 1

Triangle

Explanation:

A cube is a three-dimensional figure with six congruent square faces. The cube below is sliced by a plane through three points that are equidistant from one of its vertices.

The cross-section created by the plane is an equilateral triangle.

Therefore, traingle is the best choice.

Answer 2

Answer: The cross section would be a triangle.

Imagine a object that is a cube, like a dice. Start at one vertice and measure down 3 edges the same distance.

Now, imagine that you cut through those 3 dots and cut off the corner. The resulting base of your new shape would be the cross section. It would be a triangle.