Problem: Identifying 3D Shapes from Their Nets
The task is to identify the 3D shapes that can be formed by folding each of the given nets. Below is a detailed explanation and solution for each net.
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Step-by-Step Solution:
1.
Net (a):
- The net consists of 6 squares arranged in a cross pattern.
- This is the classic net of a
cube.
-
Answer: Cube
2.
Net (b):
- The net consists of 6 rectangles, with two opposite faces being larger than the others.
- This is the net of a
cuboid.
-
Answer: Cuboid
3.
Net (c):
- The net has a circular base and a sector-like shape connected to it.
- This is the net of a
cone.
-
Answer: Cone
4.
Net (d):
- The net has two circular bases and a rectangular strip connecting them.
- This is the net of a
cylinder.
-
Answer: Cylinder
5.
Net (e):
- The net has two triangular bases and three rectangular sides.
- This is the net of a
triangular prism.
-
Answer: Triangular Prism
6.
Net (f):
- The net has a square base and four triangular faces.
- This is the net of a
square-based pyramid.
-
Answer: Square-Based Pyramid
7.
Net (g):
- The net has a triangular base and three triangular faces.
- This is the net of a
triangle-based pyramid (tetrahedron).
-
Answer: Triangle-Based Pyramid
8.
Net (h):
- The net has a pentagonal base and five rectangular sides.
- This is the net of a
pentagonal prism.
-
Answer: Pentagonal Prism
9.
Net (i):
- The net has a hexagonal base and six rectangular sides.
- This is the net of a
hexagonal prism.
-
Answer: Hexagonal Prism
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Final Answers:
- a)
Cube
- b)
Cuboid
- c)
Cone
- d)
Cylinder
- e)
Triangular Prism
- f)
Square-Based Pyramid
- g)
Triangle-Based Pyramid
- h)
Pentagonal Prism
- i)
Hexagonal Prism
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Explanation:
A
net is a 2D representation of a 3D shape that can be folded to form the shape. Each net must have the correct number and arrangement of faces to match the corresponding 3D shape. For example:
- A cube has 6 square faces.
- A cylinder has 2 circular bases and a rectangular side.
- A triangular prism has 2 triangular bases and 3 rectangular sides.
By carefully analyzing the shapes and their arrangements in each net, we can determine which 3D shape they represent.
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Final Answer:
\[
\boxed{
\text{a) Cube, b) Cuboid, c) Cone, d) Cylinder, e) Triangular Prism, f) Square-Based Pyramid, g) Triangle-Based Pyramid, h) Pentagonal Prism, i) Hexagonal Prism}
}
\]
Parent Tip: Review the logic above to help your child master the concept of 3d nets worksheet.
