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**What is the surface area of the box formed by the net above?What is the surface area of the box formed by the net above?**

To calculate the surface area of the box formed by the net shown in the image, we will use the dimensions provided. The net consists of six rectangles forming the faces of the box. Here are the dimensions we can extract:

- **Two large rectangles** with dimensions 40 cm by 25 cm.
- **Two small rectangles** with dimensions 8 cm by 25 cm.
- **Two smaller side rectangles** with dimensions 40 cm by 8 cm.

To find the surface area of the box, we calculate the area of each of these rectangles and sum them up.

### Step 1: Calculate the area of each face of the box.
1. **Area of two large rectangles** (front and back):  
   Each rectangle has an area of:  
   \[ 40 \, \text{cm} \times 25 \, \text{cm} = 1000 \, \text{cm}^2 \]  
   For two rectangles:  
   \[ 1000 \times 2 = 2000 \, \text{cm}^2 \]

2. **Area of two small rectangles** (sides):  
   Each rectangle has an area of:  
   \[ 8 \, \text{cm} \times 25 \, \text{cm} = 200 \, \text{cm}^2 \]  
   For two rectangles:  
   \[ 200 \times 2 = 400 \, \text{cm}^2 \]

3. **Area of two smaller side rectangles** (top and bottom):  
   Each rectangle has an area of:  
   \[ 40 \, \text{cm} \times 8 \, \text{cm} = 320 \, \text{cm}^2 \]  
   For two rectangles:  
   \[ 320 \times 2 = 640 \, \text{cm}^2 \]

### Step 2: Sum all the areas.
\[
2000 \, \text{cm}^2 + 400 \, \text{cm}^2 + 640 \, \text{cm}^2 = 3040 \, \text{cm}^2
\]

Thus, the surface area of the box formed by the net is **3040 cm²**.

Do you have any questions or would you like further details?

Here are 5 related questions to explore:
1. How would the surface area change if the height of the box was increased?
2. How do you calculate the volume of this box?
3. What are the properties of a rectangular prism that affect its surface area?
4. How does the surface area-to-volume ratio affect a box's thermal properties?
5. How can nets be used to find the surface area of other geometric shapes?

**Tip:** Always ensure that you account for all faces of a 3D object when calculating surface area from a net!

What is the surface area of the box formed by the net above?

Learn how to calculate the surface area of a box using its net. This detailed explanation covers essential geometry concepts and step-by-step calculations, suitable for middle school students (Grades 6-8).

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