Let's solve
Question 1 from the worksheet:
"Name the following shapes that is made by each net."
We are given 9 nets (a) through (i), and we need to identify the 3D shape each one forms when folded.
---
Step-by-step analysis:
####
a)
- This net has
6 squares arranged in a cross shape.
- This is a classic
net of a cube.
✔ Answer: Cube
---
####
b)
- This net has
6 rectangles, with one central rectangle and others attached to its sides.
- It looks like a
rectangular prism (also called a cuboid).
- All faces are rectangles, so it’s a
cuboid.
✔ Answer: Cuboid
---
####
c)
- This net has a
sector of a circle (like a slice of pie) and a
circle.
- The sector becomes the curved surface of a
cone, and the circle becomes the base.
✔ Answer: Cone
---
####
d)
- This net has a
rectangle and
two circles on opposite ends.
- When folded, the rectangle wraps around to form the side, and the circles become the top and bottom.
✔ Answer: Cylinder
---
####
e)
- This net has
3 rectangles and
2 triangles at the ends.
- The two triangular bases and three rectangular faces make this a
triangular prism.
✔ Answer: Triangular prism
---
####
f)
- This net has a
square in the center with
four triangles attached to each side.
- This forms a pyramid with a square base and four triangular faces.
✔ Answer: Square-based pyramid
---
####
g)
- This net has
4 triangles connected together.
- It forms a pyramid with a
triangular base and three other triangular faces.
✔ Answer: Triangle-based pyramid
---
####
h)
- This net has
5 rectangles and
2 pentagons at the ends.
- The two pentagonal bases and five rectangular lateral faces form a
pentagonal prism.
✔ Answer: Pentagonal prism
---
####
i)
- This net has
6 rectangles and
2 hexagons at the ends.
- The two hexagonal bases and six rectangular faces make this a
hexagonal prism.
✔ Answer: Hexagonal prism
---
✔ Final Answers:
| Letter | Shape |
|--------|---------------------------|
| 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 |
---
📝 Explanation Summary:
- A
net is a 2D pattern that can be folded into a 3D shape.
- Each shape has specific face types and numbers:
-
Cube: 6 equal squares
-
Cuboid: 6 rectangles (not necessarily equal)
-
Cone: 1 circle + 1 sector (curved surface)
-
Cylinder: 2 circles + 1 rectangle
-
Prisms: Two identical bases (polygon) + rectangular sides
- Triangular prism → triangle + 3 rectangles
- Pentagon → 2 pentagons + 5 rectangles
- Hexagon → 2 hexagons + 6 rectangles
-
Pyramids: One polygonal base + triangular faces meeting at a point
- Square-based → square base + 4 triangles
- Triangle-based → triangle base + 3 triangles
This helps students visualize how flat shapes fold into 3D objects!
Parent Tip: Review the logic above to help your child master the concept of nets of 3d shapes worksheet.
