https://file.aiquickdraw.com/mathbot/file/1726596345176nu5l6sek.jpg

To calculate the surface area of the toy box from the given net, we need to break down the rectangular faces that make up the box and compute the total surface area by summing the areas of all faces.

From the image, we can identify the following dimensions:
1. The front and back faces are **10 cm wide** and **9 cm tall**, so each of these two faces has an area of:
   \[
   \text{Area of front/back} = 10 \times 9 = 90 \text{ cm}^2
   \]

2. The left and right side faces are **5 cm wide** and **9 cm tall**, so each of these two faces has an area of:
   \[
   \text{Area of left/right sides} = 5 \times 9 = 45 \text{ cm}^2
   \]

3. The top and bottom faces are **10 cm long** and **5 cm wide**, so each of these two faces has an area of:
   \[
   \text{Area of top/bottom} = 10 \times 5 = 50 \text{ cm}^2
   \]

Now, adding up the areas of all these faces:
\[
\text{Total surface area} = 2 \times (90 + 45 + 50) = 2 \times 185 = 370 \text{ cm}^2
\]

Thus, the surface area of the toy box is **370 square centimeters**.

Would you like more details on any step? Here are some related questions for practice:
1. What would the surface area be if the height was doubled?
2. How would the surface area change if only the width (10 cm) was increased by 2 cm?
3. What is the volume of the toy box?
4. How would the surface area calculation differ if it was a cylinder instead of a rectangular box?
5. How do you find the lateral surface area of a rectangular prism?

**Tip:** Surface area of 3D shapes is always the sum of the areas of all their faces, so it helps to identify and compute each face separately.

What is the surface area, in square centimeters, of the toy box?

Learn how to calculate the surface area of a toy box by using its net. This step-by-step solution covers key geometry concepts for calculating surface area in a rectangular prism. Suitable for students in Grades 5-7, the problem involves calculating the areas of different faces and summing them to find the total surface area of 370 square centimeters.

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