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Which of the following is a net of a 3D shape with 8 faces?

A.
B.
C.
D.

Sagot :

To determine which of the given options (A, B, C, or D) is a net of a 3D shape with 8 faces, let's first identify the 3D shape that has exactly 8 faces.

Among the common 3D shapes, an octahedron is the one that has 8 faces. An octahedron is composed of eight equilateral triangular faces.

To identify the net of an octahedron, we need to remember that a net is a two-dimensional pattern that can be folded along the edges to form the surface of the three-dimensional shape. In this case, we are looking for a net that, when folded, forms an octahedron.

Here are the steps a net should follow to create an octahedron:

1. It should have a total of 8 equilateral triangles.
2. The arrangement of these triangles should allow for the folding along specific edges to form the octahedron shape.

Given this information, you can examine each of the provided options (A, B, C, or D) and count the number of triangles present in each net. The correct option will be the one with precisely 8 equilateral triangles arranged in a manner that can be folded to form an octahedron.

Upon inspecting the options:

- Option (A)
- Option (B)
- Option (C)
- Option (D)

(Inspect the images provided for each option and determine which one meets the criteria mentioned).

You will find that the option with exactly 8 triangular faces is the one corresponding to the net of an octahedron. Thus, that option, whether it is (A), (B), (C), or (D), is the correct one.