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Matching 3D shapes with their corresponding nets in a geometry worksheet.

Worksheet with eight geometric shapes and their nets, labeled 1 to 8, for matching exercise.

Worksheet with eight geometric shapes and their nets, labeled 1 to 8, for matching exercise.

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Show Answer Key & Explanations Step-by-step solution for: Unit 10 lesson 1 polyhedrons & nets | PDF
To solve this problem, we need to identify the 3D shape that is formed when each flat "net" is folded up. A net is a pattern that you can cut out and fold to make a solid figure.

Here is the step-by-step breakdown for each number:

1. Shape: This net has 6 squares arranged in a cross shape. When you fold the four side squares up and put the top one on, it makes a box with all equal sides.
* Answer: Cube

2. Shape: This net has 6 rectangles. It looks like a stretched-out version of number 1. When folded, it makes a box shape where the sides are rectangles, not squares.
* Answer: Rectangular Prism

3. Shape: This net has a square in the middle and four triangles attached to the sides. If you fold the triangles up, they meet at a single point at the top. This creates a pyramid with a square base.
* Answer: Square Pyramid

4. Shape: This net has three rectangles in a row and two triangles on the top and bottom. The triangles form the ends (bases), and the rectangles fold around to connect them. This is a prism named after its base shape.
* Answer: Triangular Prism

5. Shape: This net has five rectangles in a strip and two pentagons (5-sided shapes) on the top and bottom. Since the bases are pentagons, it is a pentagonal prism.
* Answer: Pentagonal Prism

6. Shape: This net has six rectangles in a strip and two hexagons (6-sided shapes) on the top and bottom. Since the bases are hexagons, it is a hexagonal prism.
* Answer: Hexagonal Prism

7. Shape: This net has a square in the center and four triangles attached to every side. Like number 3, these triangles fold up to meet at a point. Because the base is a square, it is a square pyramid.
* Answer: Square Pyramid

8. Shape: This net consists of four identical triangles connected together. When folded, it forms a pyramid with a triangular base. This specific shape is often called a tetrahedron, but in general geometry classes, it is classified by its base.
* Answer: Triangular Pyramid

Final Answer:
1. Cube
2. Rectangular Prism
3. Square Pyramid
4. Triangular Prism
5. Pentagonal Prism
6. Hexagonal Prism
7. Square Pyramid
8. Triangular Pyramid
Parent Tip: Review the logic above to help your child master the concept of polyhedron worksheet.
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