Match each 2D net to its 3D shape in this educational worksheet.
A worksheet titled "NETS" from La Devesa School At Home, showing six 2D nets on the left and six 3D shapes on the right, with the task to match each net to its corresponding 3D representation.
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Show Answer Key & Explanations
Step-by-step solution for: 3d shapes and nets worksheet
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Show Answer Key & Explanations
Step-by-step solution for: 3d shapes and nets worksheet
Let's solve this step by step. The task is to match each 2D net (on the left) to its corresponding 3D shape (on the right).
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A net is a 2D pattern that can be folded to form a 3D shape. Each face of the 3D shape is represented as a flat polygon in the net.
We’ll analyze each net and determine which 3D shape it forms when folded.
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#### Net 1: Cross-shaped with 6 squares
- This is a classic net of a cube.
- It has six squares arranged in a cross, which folds into a cube.
✔ Matches → Cube
#### Net 2: Central square with triangles on each side (like a diamond)
- One square in the center, four triangles attached to each side.
- When folded, the triangles meet at a point above and below the square base.
- This forms a square pyramid.
✔ Matches → Square Pyramid (the one with a square base and triangular sides)
#### Net 3: Two rectangles on the sides and three rectangles in the middle
- Looks like a central rectangle with two rectangles on the left and right, and one on top and bottom?
Wait — actually, it’s:
- Three rectangles in a row, with a triangle on each end.
- Wait, no: it's three rectangles, with triangles on the left and right ends.
- So: rectangle–rectangle–rectangle, but with a triangle attached to the outer sides.
- That suggests: a triangular prism — two triangular bases and three rectangular faces.
✔ Matches → Triangular Prism (the one with two triangular ends and three rectangular sides)
#### Net 4: Four rectangles in a cross-like pattern (but not symmetric)
- Four rectangles arranged in a “T” or cross? Actually, it looks like a rectangular prism net.
- It has 6 rectangles: likely two pairs of identical ones.
- This is a net for a rectangular prism (cuboid).
✔ Matches → Rectangular Prism
#### Net 5: Large triangle divided into four smaller triangles
- A large equilateral triangle, subdivided into four smaller equilateral triangles.
- This is a tetrahedron net — four triangular faces.
- When folded, the three outer triangles fold up to meet at a point.
✔ Matches → Tetrahedron (the 3D shape with four triangular faces)
#### Net 6: Pentagon in the center with five rectangles around it
- A regular pentagon surrounded by five rectangles.
- This is a pentagonal prism — two pentagonal bases and five rectangular faces.
✔ Matches → Pentagonal Prism
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Now let’s list them clearly:
| Net | Description | Matches |
|-----|-------------|--------|
| 1 | Cross of 6 squares | ✔ Cube |
| 2 | Square with 4 triangles attached | ✔ Square Pyramid |
| 3 | 3 rectangles + 2 triangles on ends | ✔ Triangular Prism |
| 4 | 6 rectangles arranged in a cross | ✔ Rectangular Prism |
| 5 | Large triangle divided into 4 small triangles | ✔ Tetrahedron |
| 6 | Pentagon with 5 rectangles around | ✔ Pentagonal Prism |
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1. Cross of 6 squares → Cube
2. Square with 4 triangles → Square Pyramid
3. 3 rectangles + 2 triangles → Triangular Prism
4. 6 rectangles (cross) → Rectangular Prism
5. Large triangle split into 4 → Tetrahedron
6. Pentagon with 5 rectangles → Pentagonal Prism
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- Net 1 → Cube
- Net 2 → Square Pyramid
- Net 3 → Triangular Prism
- Net 4 → Rectangular Prism
- Net 5 → Tetrahedron
- Net 6 → Pentagonal Prism
✔ All matched correctly based on geometry.
Let me know if you'd like a visual explanation or labeling!
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Step 1: Understand what a "net" is
A net is a 2D pattern that can be folded to form a 3D shape. Each face of the 3D shape is represented as a flat polygon in the net.
We’ll analyze each net and determine which 3D shape it forms when folded.
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Step 2: Analyze each net
#### Net 1: Cross-shaped with 6 squares
- This is a classic net of a cube.
- It has six squares arranged in a cross, which folds into a cube.
✔ Matches → Cube
#### Net 2: Central square with triangles on each side (like a diamond)
- One square in the center, four triangles attached to each side.
- When folded, the triangles meet at a point above and below the square base.
- This forms a square pyramid.
✔ Matches → Square Pyramid (the one with a square base and triangular sides)
#### Net 3: Two rectangles on the sides and three rectangles in the middle
- Looks like a central rectangle with two rectangles on the left and right, and one on top and bottom?
Wait — actually, it’s:
- Three rectangles in a row, with a triangle on each end.
- Wait, no: it's three rectangles, with triangles on the left and right ends.
- So: rectangle–rectangle–rectangle, but with a triangle attached to the outer sides.
- That suggests: a triangular prism — two triangular bases and three rectangular faces.
✔ Matches → Triangular Prism (the one with two triangular ends and three rectangular sides)
#### Net 4: Four rectangles in a cross-like pattern (but not symmetric)
- Four rectangles arranged in a “T” or cross? Actually, it looks like a rectangular prism net.
- It has 6 rectangles: likely two pairs of identical ones.
- This is a net for a rectangular prism (cuboid).
✔ Matches → Rectangular Prism
#### Net 5: Large triangle divided into four smaller triangles
- A large equilateral triangle, subdivided into four smaller equilateral triangles.
- This is a tetrahedron net — four triangular faces.
- When folded, the three outer triangles fold up to meet at a point.
✔ Matches → Tetrahedron (the 3D shape with four triangular faces)
#### Net 6: Pentagon in the center with five rectangles around it
- A regular pentagon surrounded by five rectangles.
- This is a pentagonal prism — two pentagonal bases and five rectangular faces.
✔ Matches → Pentagonal Prism
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Step 3: Match each net to its 3D shape
Now let’s list them clearly:
| Net | Description | Matches |
|-----|-------------|--------|
| 1 | Cross of 6 squares | ✔ Cube |
| 2 | Square with 4 triangles attached | ✔ Square Pyramid |
| 3 | 3 rectangles + 2 triangles on ends | ✔ Triangular Prism |
| 4 | 6 rectangles arranged in a cross | ✔ Rectangular Prism |
| 5 | Large triangle divided into 4 small triangles | ✔ Tetrahedron |
| 6 | Pentagon with 5 rectangles around | ✔ Pentagonal Prism |
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Final Matching (Left to Right):
1. Cross of 6 squares → Cube
2. Square with 4 triangles → Square Pyramid
3. 3 rectangles + 2 triangles → Triangular Prism
4. 6 rectangles (cross) → Rectangular Prism
5. Large triangle split into 4 → Tetrahedron
6. Pentagon with 5 rectangles → Pentagonal Prism
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Answer Key:
- Net 1 → Cube
- Net 2 → Square Pyramid
- Net 3 → Triangular Prism
- Net 4 → Rectangular Prism
- Net 5 → Tetrahedron
- Net 6 → Pentagonal Prism
✔ All matched correctly based on geometry.
Let me know if you'd like a visual explanation or labeling!
Parent Tip: Review the logic above to help your child master the concept of geometry nets worksheet.