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The image contains a math worksheet asking to design a rectangular packaging box for a model, considering various geometrical constraints. Here's the breakdown of the instructions:

### Problem Description:
You are tasked with designing an attractive box for a display of a circuitry device with the following conditions:
1. **Shape of the Box**: 
   - It must be rectangular.
   - The circular openings must be placed on the faces with equal dimensions.
   
2. **Dimensions and Other Specifications**:
   - The **height** of the box should be 60 cm.
   - The **length** of the box is 20 cm more than the height (so, 80 cm).
   - The **distance between the circumference of the circular opening** and the **vertex of the box** should be 35.5 cm.
   - The **center of the circle** should be at the **midpoint of the diagonal** (you are asked to use \(\pi \approx \frac{22}{7}\)).

3. **Additional Requirements**:
   - The box must have overlapping flaps to glue the faces.
   - You are asked to use recyclable materials.

### Task a)
- **Draw the shape of the box** and show the opened side using dots. The ratio of the real box to the drawing should be 10 cm: 1 cm.

Would you like me to help with a step-by-step guide for drawing this box or assist with specific calculations, such as determining the size of the circular opening? 

### Related Questions:
1. How do we calculate the area of a circular opening on the box's faces?
2. What is the diagonal of a rectangular face of the box with the given dimensions?
3. How can the ratio of the real box to the drawing (10 cm: 1 cm) affect the measurements in the drawing?
4. How does the distance between the circumference and vertex affect the design of the box?
5. What is the significance of using recyclable material in the context of this packaging design?

### Tip:
When designing a packaging box, especially with precise geometric conditions like circular openings, it's crucial to accurately calculate all relevant distances (e.g., diagonal and midpoint). This ensures proper fitting and stability of the box.

A company has asked you to design an attractive packaging box for a display model of a circuitry device. The box should be rectangular, with circular openings on faces of equal dimensions. The height of the box is 60 cm, and the length is 20 cm more than the height (80 cm). The distance between the circumference of the circular openings and the vertex of the box should be 35.5 cm. The center of the circle should be at the midpoint of the diagonal (using π ≈ 22/7). The box should have overlapping flaps for proper assembly, and recyclable materials should be used.

Learn how to design a rectangular packaging box with circular openings using geometric concepts like area, perimeter, and diagonal measurement. This problem involves calculating the diagonal of a rectangular face, the area of circular openings, and applying ratios for scaling the drawing. Suitable for students in Grades 8-10.

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