Prism and pyramids worksheet - Free Printable
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Step-by-step solution for: Prism and pyramids worksheet
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Show Answer Key & Explanations
Step-by-step solution for: Prism and pyramids worksheet
The task is to label each shape as either a prism or a pyramid. Let's go through the shapes one by one and identify them.
- Prism: A prism is a 3D shape with two parallel, congruent bases connected by rectangular or parallelogram-shaped faces.
- Pyramid: A pyramid is a 3D shape with a polygonal base and triangular faces that meet at a common vertex (the apex).
#### Row 1:
1. Shape 1: This shape has two parallel pentagonal bases and rectangular lateral faces.
- Label: Pentagonal Prism
2. Shape 2: This shape has a triangular base and triangular faces meeting at a common vertex.
- Label: Triangular Pyramid
3. Shape 3: This shape has a triangular base and triangular faces meeting at a common vertex.
- Label: Triangular Pyramid
#### Row 2:
4. Shape 4: This shape has a triangular base and triangular faces meeting at a common vertex.
- Label: Triangular Pyramid
5. Shape 5: This shape has two parallel square bases and rectangular lateral faces.
- Label: Cube (a special type of Rectangular Prism)
6. Shape 6: This shape has two parallel hexagonal bases and rectangular lateral faces.
- Label: Hexagonal Prism
#### Row 3:
7. Shape 7: This shape has a hexagonal base and triangular faces meeting at a common vertex.
- Label: Hexagonal Pyramid
8. Shape 8: This shape has two parallel pentagonal bases and rectangular lateral faces.
- Label: Pentagonal Prism
9. Shape 9: This shape has a triangular base and triangular faces meeting at a common vertex.
- Label: Triangular Pyramid
#### Row 4:
10. Shape 10: This shape has a triangular base and triangular faces meeting at a common vertex.
- Label: Triangular Pyramid
11. Shape 11: This shape has two parallel rectangular bases and rectangular lateral faces.
- Label: Rectangular Prism
12. Shape 12: This shape has a triangular base and triangular faces meeting at a common vertex.
- Label: Triangular Pyramid
1. Pentagonal Prism
2. Triangular Pyramid
3. Triangular Pyramid
4. Triangular Pyramid
5. Cube (Rectangular Prism)
6. Hexagonal Prism
7. Hexagonal Pyramid
8. Pentagonal Prism
9. Triangular Pyramid
10. Triangular Pyramid
11. Rectangular Prism
12. Triangular Pyramid
\[
\boxed{
\begin{array}{ccc}
\text{Pentagonal Prism} & \text{Triangular Pyramid} & \text{Triangular Pyramid} \\
\text{Triangular Pyramid} & \text{Cube (Rectangular Prism)} & \text{Hexagonal Prism} \\
\text{Hexagonal Pyramid} & \text{Pentagonal Prism} & \text{Triangular Pyramid} \\
\text{Triangular Pyramid} & \text{Rectangular Prism} & \text{Triangular Pyramid} \\
\end{array}
}
\]
Key Definitions:
- Prism: A prism is a 3D shape with two parallel, congruent bases connected by rectangular or parallelogram-shaped faces.
- Pyramid: A pyramid is a 3D shape with a polygonal base and triangular faces that meet at a common vertex (the apex).
Step-by-Step Analysis:
#### Row 1:
1. Shape 1: This shape has two parallel pentagonal bases and rectangular lateral faces.
- Label: Pentagonal Prism
2. Shape 2: This shape has a triangular base and triangular faces meeting at a common vertex.
- Label: Triangular Pyramid
3. Shape 3: This shape has a triangular base and triangular faces meeting at a common vertex.
- Label: Triangular Pyramid
#### Row 2:
4. Shape 4: This shape has a triangular base and triangular faces meeting at a common vertex.
- Label: Triangular Pyramid
5. Shape 5: This shape has two parallel square bases and rectangular lateral faces.
- Label: Cube (a special type of Rectangular Prism)
6. Shape 6: This shape has two parallel hexagonal bases and rectangular lateral faces.
- Label: Hexagonal Prism
#### Row 3:
7. Shape 7: This shape has a hexagonal base and triangular faces meeting at a common vertex.
- Label: Hexagonal Pyramid
8. Shape 8: This shape has two parallel pentagonal bases and rectangular lateral faces.
- Label: Pentagonal Prism
9. Shape 9: This shape has a triangular base and triangular faces meeting at a common vertex.
- Label: Triangular Pyramid
#### Row 4:
10. Shape 10: This shape has a triangular base and triangular faces meeting at a common vertex.
- Label: Triangular Pyramid
11. Shape 11: This shape has two parallel rectangular bases and rectangular lateral faces.
- Label: Rectangular Prism
12. Shape 12: This shape has a triangular base and triangular faces meeting at a common vertex.
- Label: Triangular Pyramid
Final Labels:
1. Pentagonal Prism
2. Triangular Pyramid
3. Triangular Pyramid
4. Triangular Pyramid
5. Cube (Rectangular Prism)
6. Hexagonal Prism
7. Hexagonal Pyramid
8. Pentagonal Prism
9. Triangular Pyramid
10. Triangular Pyramid
11. Rectangular Prism
12. Triangular Pyramid
Final Answer:
\[
\boxed{
\begin{array}{ccc}
\text{Pentagonal Prism} & \text{Triangular Pyramid} & \text{Triangular Pyramid} \\
\text{Triangular Pyramid} & \text{Cube (Rectangular Prism)} & \text{Hexagonal Prism} \\
\text{Hexagonal Pyramid} & \text{Pentagonal Prism} & \text{Triangular Pyramid} \\
\text{Triangular Pyramid} & \text{Rectangular Prism} & \text{Triangular Pyramid} \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of prisms and pyramids worksheet.