The image you uploaded shows a net for a rectangular prism. A
net is a two-dimensional pattern that can be folded to form a three-dimensional shape. In this case, the net is designed to form a rectangular prism.
Problem:
The task is to understand how the given net will fold into a rectangular prism and identify the dimensions of the prism based on the grid provided.
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Solution:
#### Step 1: Understand the Net
The net consists of six rectangles arranged in a specific pattern. These rectangles represent the faces of the rectangular prism:
- There are
two large rectangles (likely the front and back faces).
- There are
four smaller rectangles (likely the top, bottom, left, and right faces).
From the grid, we can measure the dimensions of each rectangle:
- The
large rectangles appear to have dimensions of
4 units by 3 units.
- The
smaller rectangles appear to have dimensions of
2 units by 3 units.
#### Step 2: Identify the Dimensions of the Rectangular Prism
When the net is folded, the dimensions of the rectangular prism will correspond to the lengths of the edges formed by the folding:
- The
length of the prism will be the longer side of the large rectangles, which is
4 units.
- The
width of the prism will be the shorter side of the large rectangles, which is
3 units.
- The
height of the prism will be the shorter side of the smaller rectangles, which is
2 units.
Thus, the dimensions of the rectangular prism are:
- Length = 4 units
- Width = 3 units
- Height = 2 units
#### Step 3: Verify the Folding
To ensure the net folds correctly:
1. The two large rectangles (front and back) will form the main faces of the prism.
2. The four smaller rectangles will fold around these large rectangles to form the sides of the prism.
3. The edges of the net will align perfectly when folded, ensuring that all faces meet at the correct angles.
#### Final Answer:
The dimensions of the rectangular prism formed by the net are:
$$
\boxed{4 \text{ units} \times 3 \text{ units} \times 2 \text{ units}}
$$
This completes the solution. If you have any further questions or need additional clarification, feel free to ask!
Parent Tip: Review the logic above to help your child master the concept of rectangular prism net worksheet.