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The net of a rectangular prism and its dimensions as boxes connected to it in centimeters are shown.
Box 1 at the top is 4cm
Box 2 at the left side is 6cm and 4cm
Box 3 at the bottom is 9 cm
Box 4 at the right side is 6 cm and 9 cm

Answers

Answered by GPT-4o mini
To understand the dimensions of the rectangular prism given the description of the boxes connected around it in the net, let’s analyze the information provided.

1. **Box 1 (Top)**: 4 cm
- This likely indicates the length of the top face of the prism.

2. **Box 2 (Left Side)**: 6 cm and 4 cm
- This suggests that the left face of the prism has a height of 6 cm and a width corresponding to the top face (4 cm).

3. **Box 3 (Bottom)**: 9 cm
- This indicates the width of the bottom face of the prism, which corresponds to the bottom length of the top face.

4. **Box 4 (Right Side)**: 6 cm and 9 cm
- This indicates that the right face has a height of 6 cm (matching the left face height) and a width of 9 cm (which likely corresponds to the bottom face width).

**Determined Dimensions**:
- **Height (h)**: 6 cm (from boxes 2 and 4).
- **Length (l)**: 9 cm (from box 3, which corresponds to the length of the bottom face).
- **Width (w)**: 4 cm (from box 1, as it corresponds to the width of the top face).

Thus, the dimensions of the rectangular prism are:
- Length = 9 cm
- Width = 4 cm
- Height = 6 cm

If you need further explanation or a different angle on this, feel free to ask!
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