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The problem states that a rectangular prism (balok) has a surface area of 198 cm². The width is 6 cm, and the height is 3 cm. We are tasked with finding the length of the prism.

The formula for the surface area \( A \) of a rectangular prism is:

\[
A = 2(lw + lh + wh)
\]

Where:
- \( l \) is the length,
- \( w \) is the width (6 cm),
- \( h \) is the height (3 cm),
- \( A \) is the surface area (198 cm²).

### Step-by-Step Solution:

1. Substitute the known values into the surface area formula:
   \[
   198 = 2(l \cdot 6 + l \cdot 3 + 6 \cdot 3)
   \]

2. Simplify:
   \[
   198 = 2(6l + 3l + 18)
   \]
   \[
   198 = 2(9l + 18)
   \]
   \[
   198 = 18l + 36
   \]

3. Subtract 36 from both sides:
   \[
   198 - 36 = 18l
   \]
   \[
   162 = 18l
   \]

4. Divide both sides by 18:
   \[
   l = \frac{162}{18} = 9
   \]

So, the length of the prism is **9 cm**.

Would you like any further details or have any questions?

Here are 5 related questions for deeper understanding:
1. How would the formula change if you were given the volume instead of the surface area?
2. How do you calculate the diagonal of a rectangular prism using the dimensions?
3. What is the effect on the surface area if the height is doubled but the other dimensions remain the same?
4. How can we calculate the volume of the prism using the dimensions we have now?
5. How would the problem change if one of the dimensions was given as a variable instead of a constant?

**Tip:** When dealing with three-dimensional figures, understanding how each dimension (length, width, height) affects both surface area and volume is key to solving problems efficiently.

Suatu balok memiliki luas permukaan 198 cm². Jika lebar dan tinggi balok masing-masing 6 cm dan 3 cm, tentukan panjang balok tersebut.

Learn how to determine the length of a rectangular prism when given its surface area, width, and height. Using the surface area formula for a rectangular prism, we solve for the length. Suitable for students in Grades 6-8.

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