Printable Shapes - Free Printable
Educational worksheet: Printable Shapes. Download and print for classroom or home learning activities.
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Step-by-step solution for: Printable Shapes
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Show Answer Key & Explanations
Step-by-step solution for: Printable Shapes
The image you've uploaded contains net diagrams (flat, unfolded layouts) of various 3D geometric shapes. These are templates that can be cut out, folded along the lines, and glued together to form solid three-dimensional figures.
Let's go through each shape and explain what it is and how it folds into a 3D object:
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- Shape: A Platonic solid with 8 faces.
- Faces: 8 equilateral triangles.
- Net: The net shows 8 connected triangular faces arranged in a star-like pattern.
- Folding: Fold along the edges so that the triangles meet at a common vertex, forming two square pyramids joined at their bases.
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- Shape: A box-like solid with 6 rectangular faces.
- Faces: 6 rectangles (opposite faces are equal).
- Net: Shows 6 rectangles arranged in a cross-like pattern with one rectangle in the center and others attached to its sides.
- Folding: Fold the side rectangles up around the central rectangle and connect the ends to form a box.
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- Shape: A special case of a rectangular prism where all sides are equal.
- Faces: 6 squares.
- Net: Classic "cross" shape with a central square and one square attached to each of its four sides, plus one more on top or bottom.
- Folding: Fold the squares up to form a cube, connecting the flaps to create a closed box.
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- Shape: A pyramid with a square base and 4 triangular faces meeting at an apex.
- Faces: 1 square base + 4 triangles.
- Net: Shows a square with four triangles attached to each of its sides.
- Folding: Fold the triangles upward from the square base so they meet at a point above the center.
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- Shape: A prism with two hexagonal bases and six rectangular lateral faces.
- Faces: 2 hexagons + 6 rectangles.
- Net: Two hexagons (one at the top and one at the bottom), with rectangles attached to each side of the bottom hexagon.
- Folding: Fold the rectangles up and connect the top hexagon to the top edges of the rectangles.
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- Shape: A prism with trapezoidal bases and rectangular lateral faces.
- Faces: 2 trapezoids + 4 rectangles.
- Net: Two trapezoids (top and bottom), with rectangles attached to each side.
- Folding: Fold the rectangles up and join the top trapezoid to the top edges.
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- Shape: A Platonic solid with 4 triangular faces.
- Faces: 4 equilateral triangles.
- Net: Shows 4 triangles arranged in a strip or fan-like pattern.
- Folding: Fold along the edges so that three triangles meet at a common vertex, forming a pyramid with a triangular base.
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| Shape | Faces | Net Description |
|---------------------|---------------------------|------------------------------------------|
| Octahedron | 8 triangles | Star-shaped net of 8 triangles |
| Rectangular Prism | 6 rectangles | Cross-like net of rectangles |
| Cube | 6 squares | Classic cross net |
| Pyramid | 1 square + 4 triangles | Square with 4 triangles attached |
| Hexagonal Prism | 2 hexagons + 6 rectangles | Two hexagons with rectangles in between |
| Trapezoidal Prism | 2 trapezoids + 4 rectangles| Trapezoids with rectangles attached |
| Tetrahedron | 4 triangles | Fan or strip of 4 triangles |
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1. Print or trace the net.
2. Cut along the outer edges.
3. Fold along the internal lines (usually dashed or solid).
4. Apply glue or tape to the tabs to assemble the 3D shape.
These nets are excellent for teaching geometry, spatial reasoning, and hands-on learning.
Let me know if you'd like help identifying which net corresponds to a specific 3D shape or want instructions for folding one!
Let's go through each shape and explain what it is and how it folds into a 3D object:
---
1. Octahedron
- Shape: A Platonic solid with 8 faces.
- Faces: 8 equilateral triangles.
- Net: The net shows 8 connected triangular faces arranged in a star-like pattern.
- Folding: Fold along the edges so that the triangles meet at a common vertex, forming two square pyramids joined at their bases.
---
2. Rectangular Prism
- Shape: A box-like solid with 6 rectangular faces.
- Faces: 6 rectangles (opposite faces are equal).
- Net: Shows 6 rectangles arranged in a cross-like pattern with one rectangle in the center and others attached to its sides.
- Folding: Fold the side rectangles up around the central rectangle and connect the ends to form a box.
---
3. Cube
- Shape: A special case of a rectangular prism where all sides are equal.
- Faces: 6 squares.
- Net: Classic "cross" shape with a central square and one square attached to each of its four sides, plus one more on top or bottom.
- Folding: Fold the squares up to form a cube, connecting the flaps to create a closed box.
---
4. Pyramid (Square Pyramid)
- Shape: A pyramid with a square base and 4 triangular faces meeting at an apex.
- Faces: 1 square base + 4 triangles.
- Net: Shows a square with four triangles attached to each of its sides.
- Folding: Fold the triangles upward from the square base so they meet at a point above the center.
---
5. Hexagonal Prism
- Shape: A prism with two hexagonal bases and six rectangular lateral faces.
- Faces: 2 hexagons + 6 rectangles.
- Net: Two hexagons (one at the top and one at the bottom), with rectangles attached to each side of the bottom hexagon.
- Folding: Fold the rectangles up and connect the top hexagon to the top edges of the rectangles.
---
6. Trapezoidal Prism
- Shape: A prism with trapezoidal bases and rectangular lateral faces.
- Faces: 2 trapezoids + 4 rectangles.
- Net: Two trapezoids (top and bottom), with rectangles attached to each side.
- Folding: Fold the rectangles up and join the top trapezoid to the top edges.
---
7. Tetrahedron
- Shape: A Platonic solid with 4 triangular faces.
- Faces: 4 equilateral triangles.
- Net: Shows 4 triangles arranged in a strip or fan-like pattern.
- Folding: Fold along the edges so that three triangles meet at a common vertex, forming a pyramid with a triangular base.
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Summary Table:
| Shape | Faces | Net Description |
|---------------------|---------------------------|------------------------------------------|
| Octahedron | 8 triangles | Star-shaped net of 8 triangles |
| Rectangular Prism | 6 rectangles | Cross-like net of rectangles |
| Cube | 6 squares | Classic cross net |
| Pyramid | 1 square + 4 triangles | Square with 4 triangles attached |
| Hexagonal Prism | 2 hexagons + 6 rectangles | Two hexagons with rectangles in between |
| Trapezoidal Prism | 2 trapezoids + 4 rectangles| Trapezoids with rectangles attached |
| Tetrahedron | 4 triangles | Fan or strip of 4 triangles |
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How to Use These Nets:
1. Print or trace the net.
2. Cut along the outer edges.
3. Fold along the internal lines (usually dashed or solid).
4. Apply glue or tape to the tabs to assemble the 3D shape.
These nets are excellent for teaching geometry, spatial reasoning, and hands-on learning.
Let me know if you'd like help identifying which net corresponds to a specific 3D shape or want instructions for folding one!
Parent Tip: Review the logic above to help your child master the concept of 3d shapes printables cutting out.