https://file.aiquickdraw.com/mathbot/file/1726459635872rahzyquk.jpg

The problem shown in the image asks to calculate the length of wire needed to create the frame of a rectangular box with dimensions \( 6 \times 4 \times 5 \) cm, and involves finding the necessary length of wire to construct the box.

Let me break it down:

1. **Dimensions of the Box**: \( 6 \) cm, \( 4 \) cm, and \( 5 \) cm.
2. **Shape**: A rectangular box (rectangular cuboid).
3. **Objective**: Calculate the total length of wire needed for the frame of the cuboid.

### Steps:

A rectangular cuboid has 12 edges: 
- 4 edges of length \( 6 \) cm,
- 4 edges of length \( 4 \) cm,
- 4 edges of length \( 5 \) cm.

The total length of wire required is the sum of the lengths of all edges.

\[
\text{Total length} = 4 \times (6 + 4 + 5) \, \text{cm}.
\]

Let me calculate the total length.It seems like I can’t do more advanced data analysis right now. Please try again later.

However, you can still calculate the total wire length using this formula:

\[
\text{Total length} = 4 \times (6 + 4 + 5) \, \text{cm}.
\]

Simplifying it:

\[
\text{Total length} = 4 \times 15 = 60 \, \text{cm}.
\]

Would you like further clarification or details?

Here are some related questions for further exploration:
1. How would the calculation change if the cuboid was a cube?
2. What is the surface area of the box with the given dimensions?
3. Can you calculate the volume of this rectangular box?
4. How many square meters of material would be needed to cover this box?
5. How does the total edge length of this cuboid compare to a cube of the same volume?

**Tip**: Always ensure to check unit consistency when solving geometry problems like this.

Hitunglah panjang kawat yang diperlukan untuk membuat kotak kapur tulis berukuran 6x4x5 cm. Di antara gambar berikut, manakah yang merupakan jaring-jaring kubus?

Learn how to calculate the total length of wire required to create the frame of a rectangular cuboid with dimensions 6x4x5 cm. This problem covers key geometry concepts such as the properties of cuboids and perimeter calculations. Suitable for students in Grades 6-8.

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