Here are diagrams of some 3-D shapes.
Tick each shape that has the same number of faces as vertices.
Cube
Square-based pyramid
Triangular prism
Triangular-based pyramid
Answer (2)
The shapes that have the same number of faces as vertices are the Square-based Pyramid and the Triangular-based Pyramid. The Cube and the Triangular Prism do not meet this criterion. Therefore, the answer is confirmed for the two shapes listed.
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To determine which 3-D shapes have the same number of faces as vertices, let's analyze each of the given shapes individually.
Cube :
Faces: A cube has 6 faces.
Vertices: A cube has 8 vertices.
Since the number of faces is not equal to the number of vertices, a cube does not meet the criteria.
Square-based Pyramid :
Faces: A square-based pyramid has 5 faces.
Vertices: A square-based pyramid has 5 vertices.
Since the number of faces equals the number of vertices, a square-based pyramid meets the criteria.
Triangular Prism :
Faces: A triangular prism has 5 faces.
Vertices: A triangular prism has 6 vertices.
Since the number of faces is not equal to the number of vertices, a triangular prism does not meet the criteria.
Triangular-based Pyramid (also known as a tetrahedron) :
Faces: A triangular-based pyramid has 4 faces.
Vertices: A triangular-based pyramid has 4 vertices.
Since the number of faces equals the number of vertices, a triangular-based pyramid meets the criteria.
Therefore, the shapes that have the same number of faces as vertices are the Square-based Pyramid and the Triangular-based Pyramid .
