Question

look at the shape.
pick all the ways to describe the shape.
the shape has 12 edges.
the shape has 6 faces.
the shape has 6 vertices.

Explanation:

Identify the 3D shape

The given image shows a rectangular prism (a box-like 3D Shape).

Count the edges

Using our understanding of the Edges of Prisms, a rectangular prism has:

• 4 edges on the top face
• 4 edges on the bottom face
• 4 vertical edges connecting the top and bottom faces

Total edges = \(4 + 4 + 4 = 12\).
Thus, "The shape has 12 edges" is correct.

Count the faces

Using our understanding of the Faces of Prisms, a rectangular prism has:

• 1 top face and 1 bottom face
• 4 side faces

Total faces = \(2 + 4 = 6\).
Thus, "The shape has 6 faces" is correct.

Count the vertices

Using our understanding of the Vertices of Prisms, a rectangular prism has:

• 4 vertices on the top face
• 4 vertices on the bottom face

Total vertices = \(4 + 4 = 8\).
Thus, "The shape has 6 vertices" is incorrect because it has 8 vertices.

Answer:

• The shape has 12 edges. (Correct answer)
• The shape has 6 faces. (Correct answer)
• The shape has 6 vertices.