Problem Analysis:
The task involves identifying which 3D figure corresponds to the given net. A
net is a 2D pattern that can be folded to form a 3D solid. The goal is to match the provided net with one of the 3D figures shown.
Given:
1.
Net: A 2D shape consisting of a square in the center surrounded by four equilateral triangles.
2.
3D Figures: Three options are provided, and we need to determine which one matches the net.
Step-by-Step Solution:
####
Step 1: Understand the Net
- The net consists of:
- One central square.
- Four equilateral triangles attached to each side of the square.
- This configuration suggests that the net will fold into a 3D shape where:
- The square forms the base.
- The four triangles form the sides (or faces) of the 3D shape.
####
Step 2: Analyze the Possible 3D Shapes
We are given three 3D shapes to choose from. Let's analyze each one:
1.
First 3D Figure (Top Right):
- This appears to be a
square pyramid.
- A square pyramid has a square base and four triangular faces that meet at a single apex.
- This matches the structure of the net, as the net has a square base and four triangular faces.
2.
Second 3D Figure (Bottom Right):
- This appears to be a
triangular prism.
- A triangular prism has two triangular bases and three rectangular lateral faces.
- This does not match the net, as the net does not have any rectangular faces.
3.
Third 3D Figure (Not Shown):
- Since only two 3D figures are visible in the image, we focus on the first two. However, if there were a third option, it would need to be analyzed similarly.
####
Step 3: Match the Net to the Correct 3D Shape
- The net clearly indicates a shape with a square base and four triangular faces.
- The first 3D figure (top right) is a square pyramid, which perfectly matches this description.
Final Answer:
The 3D figure that corresponds to the given net is the
square pyramid.
$$
\boxed{\text{Square Pyramid}}
$$
Explanation:
The net provided is designed to fold into a square pyramid. The central square becomes the base, and the four equilateral triangles fold up to form the sides of the pyramid, meeting at a single apex. This matches the structure of the first 3D figure shown. The other figures do not align with the net's configuration.
Parent Tip: Review the logic above to help your child master the concept of sixth grade geometry worksheet.