Let's solve the problem step by step.
We are given
9 nets (2D shapes that can be folded into 3D solids), and we need to
match each net to its corresponding 3D shape from this list:
- Triangular prism
- Cuboid
- Cylinder
- Square-based pyramid
- Hexagonal prism
- Cube
- Hexagonal pyramid
- Tetrahedron
- Cone
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Step 1: Understand Each Net
We'll go through each of the 9 nets in order (row by row, left to right) and identify which 3D shape it forms when folded.
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####
Row 1
Net 1 (Top-left):
- A sector (part of a circle) with a circle attached at the bottom.
- This is a
cone: the curved surface is the lateral face, and the circle is the base.
✔ Cone
Net 2 (Top-center):
- Six rectangles arranged in a cross-like pattern (like a "T" but extended).
- This is a common net for a
cube, where all faces are squares.
- Wait — actually, these are rectangles, not squares. But since it has six faces and is a rectangular box layout, this is more likely a
cuboid.
- However, if all sides were equal, it would be a cube. But here, the rectangles are clearly different sizes.
- So this is a
cuboid.
✔ Cuboid
Net 3 (Top-right):
- One hexagon in the center, with six rectangles attached to each side.
- This is a
hexagonal prism: two hexagonal bases and six rectangular sides.
✔ Hexagonal prism
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####
Row 2
Net 4 (Middle-left):
- A rectangle with a circle on top and one on bottom.
- This is a
cylinder: the rectangle wraps around to form the side, and the circles are the top and bottom bases.
✔ Cylinder
Net 5 (Middle-center):
- A cross made of six squares.
- This is a classic net for a
cube.
✔ Cube
Net 6 (Middle-right):
- A star-like shape with six triangles meeting at a central point.
- This is a
hexagonal pyramid: one hexagonal base and six triangular faces.
- But wait — the shape shows
six triangles connected to a central point, forming a star. When folded, they meet at a single apex over a hexagonal base.
✔ Hexagonal pyramid
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####
Row 3
Net 7 (Bottom-left):
- A square in the center, with four triangles attached to each side.
- This forms a
square-based pyramid: a square base and four triangular faces meeting at a point.
✔ Square-based pyramid
Net 8 (Bottom-center):
- Three rectangles in a row, with a triangle on each end.
- The two triangles are the bases, and the three rectangles are the lateral faces.
- This is a
triangular prism: two triangular bases and three rectangular sides.
✔ Triangular prism
Net 9 (Bottom-right):
- Four triangles arranged so that they share edges and can fold into a tetrahedron.
- A
tetrahedron is a pyramid with a triangular base and three triangular faces — total of 4 triangular faces.
- This net shows four equilateral triangles joined together; when folded, they form a regular tetrahedron.
✔ Tetrahedron
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Final Matching
Now let’s label each net correctly.
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✔ Answers:
Row 1:
1.
Cone
2.
Cuboid
3.
Hexagonal prism
Row 2:
4.
Cylinder
5.
Cube
6.
Hexagonal pyramid
Row 3:
7.
Square-based pyramid
8.
Triangular prism
9.
Tetrahedron
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Summary Table:
| Net | Shape |
|-----|-------|
| 1 | Cone |
| 2 | Cuboid |
| 3 | Hexagonal prism |
| 4 | Cylinder |
| 5 | Cube |
| 6 | Hexagonal pyramid |
| 7 | Square-based pyramid |
| 8 | Triangular prism |
| 9 | Tetrahedron |
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Explanation Recap:
-
Cone: Sector + circle → lateral surface + base
-
Cuboid: Rectangular net with 6 faces → rectangular box
-
Hexagonal prism: Hexagon + 6 rectangles → prism with hexagonal ends
-
Cylinder: Rectangle + two circles → curved surface + two circular ends
-
Cube: Six squares in cross → cube
-
Hexagonal pyramid: Star of triangles → pyramid with hexagonal base
-
Square-based pyramid: Square + 4 triangles → pyramid with square base
-
Triangular prism: Two triangles + three rectangles → prism with triangular ends
-
Tetrahedron: Four triangles → 3D shape with 4 triangular faces
✔ All matched correctly!
Let me know if you'd like a printable version or visual guide!
Parent Tip: Review the logic above to help your child master the concept of geometry nets worksheet.
