Surface Area and Volume: Three dimensional Figures
This flashcard set introduces key geometric terms related to three-dimensional figures, including components like edges, faces, and vertices. It also explains the structure of common solids such as prisms and pyramids, and defines a net as the 2D layout used to form 3D models.
edge
a line segment that is the intersection of the faces of a solid figure
Key Terms
edge
a line segment that is the intersection of the faces of a solid figure
face
any of the individual surfaces of a solid object
net
a pattern of two-dimensional shapes that can be folded to make a model of a solid figure
prism
a three-dimensional solid with two parallel identical polygon bases and all other faces that are rectangles
pyramid
a three-dimensional figure with a polygon base and triangle faces that meet at the top
vertex
a point where two sides of a polygon meet
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| Term | Definition |
|---|---|
edge | a line segment that is the intersection of the faces of a solid figure |
face | any of the individual surfaces of a solid object |
net | a pattern of two-dimensional shapes that can be folded to make a model of a solid figure |
prism | a three-dimensional solid with two parallel identical polygon bases and all other faces that are rectangles |
pyramid | a three-dimensional figure with a polygon base and triangle faces that meet at the top |
vertex | a point where two sides of a polygon meet |
The figure is a ________. | rectangle |
Which figure is three-dimensional? | |
This shape has faces. | 5 |
show parts of the figure | rectangular pryamid |
Which net can be folded to form a rectangular prism? | |
Which set of shapes could you use to form a net for a rectangular pyramid? | 4 triangles, 1 rectangle |
Use what you know about prisms to describe a pentagonal prism. Include information about faces, edges, and vertices in your description. | Sample Response: It has two identical pentagons as bases. It has 5 faces that are rectangles. The prism has 15 edges and 10 vertices. |
Three-Dimensional Figures | an edge |
A triangular prism has _____faces. | 5 |
Prisms and pyramids | rectangular pyramid |
What is the difference between a rectangular prism and a triangular prism? | The two bases of a rectangular prism are rectangles, while the two bases of a triangular prism are triangles. |
How many edges does this figure have? | 6 |
How are prisms and pyramids alike and how are they different? | Sample Response: Both prisms and pyramids are three-dimensional, which means they have length, width, and height. A prism has two identical bases that are parallel, while a pyramid has one base. |
Which net could be folded to form a triangular pyramid? | |
Which set of shapes could you use to form a net for a triangular prism? | |
Which statements about this figure are true? Select all that apply. | It is a rectangular pyramid. |
Students in Mrs. Garcia's class were practicing drawing nets. She gave them the three-dimensional figure shown. Alina drew the net labeled A and Benjamin drew the net labeled B. What statement about the students' nets is true? | Both nets are correct. |
Use what you know about prisms to describe a pentagonal prism. Include information about faces, edges, and vertices in your description. | Sample Response: It has two identical pentagons as bases. It has 5 faces that are rectangles. The prism has 15 edges and 10 vertices. |
Which statements are true about the figure? Check all that apply. | The figure is a triangular prism. |
How many edges does the figure have? | 12 |
What is the name of the figure? | triangular prism |
Which set of shapes could be used to form a net for a square pyramid? | 1 square and 4 triangles |
Which net can be folded to form a triangular pyramid? | |
Which figure is a pyramid? | |
Which statements are true about a triangular pyramid? Check all that apply. | It has 6 edges. |
What is the name of the figure? | rectangular pyramid |
Which letter labels a vertex? | C |
Which drawing represents a three-dimensional figure? | |
How many faces does the solid made from the net below have? | 8 |
Which set of shapes could be used to form a net for an octagonal prism? | 2 octagons and 8 rectangles |
Which statements are true about a decagonal (10-sided) pyramid? Check all that apply. | It has one face that is a decagon |
How many edges does the figure have? | 9 |
Which figure is a pyramid? | |
What is the name of the figure? | triangular prism |
Nina and Luca were told to draw a net for the three-dimensional figure shown below. Which statement about the students' nets is true? | X-Only Nina's net is correct. |
How many edges does the figure have? | 6 |