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Three-Dimensional Figures
Identify and classify pyramids and prisms by the number of edges, faces, or vertices Identify and classify pyramids and prisms by the base Compare a plane figure to faces of solid geometric figure
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The flat surfaces of three-dimensional figures are called faces.
Three-dimensional figures are not flat figures. They have length, width, and height. They are also called solid geometric figures. The flat surfaces of three-dimensional figures are called faces. The faces meet at edges. The edges are line segments. The edges meet at vertices (plural of vertex).
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Shape Number of Faces Number of Vertices Number of Edges F + V
Rectangular Prism Cube Triangular Prism Rectangular Pyramid Triangular Pyramid
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Rectangular prism face base edge vertex A rectangular prism has 6 faces, 8 vertices, and 12 edges.
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face cube vertex edge A cube, just like a rectangular prism, has 6 faces (all squares), 8 vertices, and 12 edges.
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Triangular prism base base face face vertex
A triangular prism has five faces. Its base is a triangle. (Notice that even when the triangular prism sits on a rectangle, the base is still a triangle.) Two of its faces are triangles; three of its faces are rectangles. It has six vertices and nine edges.
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Rectangular pyramid face vertex base
A rectangular pyramid has 5 faces. Its base is a rectangle or a square and the other 4 faces are triangles. It has 8 edges and 5 vertices.
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vertex Triangular pyramid face base
A triangular pyramid has four faces. All faces, including its base, are triangles. It has six edges and four vertices.
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Now it’s your turn!
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What is the name of a three-dimensional figure with six square faces?
pyramid cube solid edge 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32
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rectangle prism rectangular pyramid triangular prism
I am a three-dimensional figure with five faces. My base is a rectangle; my other faces are triangles. I have five vertices and eight edges. What am I? rectangle prism rectangular pyramid triangular prism triangular pyramid 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32
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How many edges does a square pyramid have?
4 5 7 8 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32
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How many vertices does a rectangular prism have?
12 8 6 4 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32
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Which of the following has a base that is a triangle?
Triangular prism Cube Square pyramid Rectangular pyramid 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32
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rectangular prism triangular prism triangular pyramid
I am a three-dimensional figure with four faces. All of my faces, including the base are triangles. What am I? rectangular prism triangular prism triangular pyramid rectangular pyramid 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32
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How many faces of a cube are squares?
2 4 6 8 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32
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2 triangles and 3 rectangles 2 triangles and 4 rectangles 6 rectangles
Sally is going to build a table for her family room. It is in the shape of a triangular prism. What shapes will she need to build the table? 5 triangles 2 triangles and 3 rectangles 2 triangles and 4 rectangles 6 rectangles 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32
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