https://file.aiquickdraw.com/mathbot/file/17267063352231pd6f825.jpg

The image shows a cube \(PQRS.TUVW\) where \(PQ = 6 \, \text{cm}\), and the question seems to be asking for a certain distance or length related to this cube, based on the options provided. Let me guide you through solving this.

### Assumptions:
From the image, we see that \(PQ = 6 \, \text{cm}\), meaning the side length of the cube is 6 cm. If the question is asking for the diagonal of the cube, we can use the formula for the space diagonal of a cube.

### Formula for the space diagonal of a cube:
The space diagonal \(d\) of a cube with side length \(a\) is given by:
\[
d = a\sqrt{3}
\]
where \(a = 6 \, \text{cm}\).

### Calculation:
\[
d = 6\sqrt{3} \, \text{cm}
\]

This length matches the structure of the provided answer choices. Thus, the correct answer is likely the one with the form \(6\sqrt{3}\).

Would you like more details on the solution or help with another aspect of the problem?

Here are 5 related questions to deepen your understanding:
1. How do you calculate the length of the diagonal on a square face of a cube?
2. What is the relationship between the space diagonal and the face diagonal of a cube?
3. Can you calculate the surface area of a cube if you know the side length?
4. How do you find the volume of a cube from the side length?
5. How can you generalize the space diagonal formula for a rectangular prism?

**Tip:** For problems involving 3D shapes, try to identify which diagonal or segment is being asked about: face diagonal, space diagonal, or edge length.

Diketahui kubus PQRS.TUVW dengan PQ = 6 cm, tentukan panjang diagonal ruang kubus tersebut.

Learn how to calculate the space diagonal of a cube with side length 6 cm using the formula d = a√3. This problem covers key geometric concepts, including cubes and the Pythagorean theorem in three-dimensional space. Suitable for students in Grades 9-11.

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