# Nakafa Framework: LLM

URL: https://nakafa.com/en/exercises/high-school/snbt/quantitative-knowledge/try-out/set-9/18

Exercises: Try Out - Set 9: Real exam simulation to sharpen your skills and build confidence. - Question 18

---

## Exercise 18

### Question

export const metadata = {
  title: "Question 18",
  authors: [{ name: "Nabil Akbarazzima Fatih" }],
  date: "12/26/2025",
};

A rectangular prism has a volume of <InlineMath math="12x^2" />, length <InlineMath math="3x" />, and width <InlineMath math="2x" />. What is the height of the rectangular prism?


### Choices

- [ ] $$1$$
- [x] $$2$$
- [ ] $$3$$
- [ ] $$4$$
- [ ] $$5$$

### Answer & Explanation

export const metadata = {
  title: "Solution 18",
  authors: [{ name: "Nabil Akbarazzima Fatih" }],
  date: "12/26/2025",
};

Given the volume of the rectangular prism is <InlineMath math="V = 12x^2" />, the length is <InlineMath math="p = 3x" />, and the width is <InlineMath math="l = 2x" />.

The formula for the volume of a rectangular prism is:

<MathContainer>
  <BlockMath math="V = p \times l \times t" />
</MathContainer>

We substitute the known values into the formula:

<MathContainer>
  <BlockMath math="\begin{aligned} 12x^2 &= (3x) \times (2x) \times t \\ 12x^2 &= 6x^2 \times t \end{aligned}" />
</MathContainer>

Next, we solve for <InlineMath math="t" />:

<MathContainer>
  <BlockMath math="t = \frac{12x^2}{6x^2} = 2" />
</MathContainer>

So, the height of the rectangular prism is <InlineMath math="2" />.


---