To solve for [tex]\(L\)[/tex] in the given equation [tex]\(A = L \cdot W \cdot H\)[/tex], follow these steps:
1. Starting with the equation:
[tex]\[
A = L \cdot W \cdot H
\][/tex]
2. To isolate [tex]\(L\)[/tex], we need to get [tex]\(L\)[/tex] on one side of the equation by itself. To do this, divide both sides of the equation by [tex]\(W \cdot H\)[/tex]:
[tex]\[
\frac{A}{W \cdot H} = \frac{L \cdot W \cdot H}{W \cdot H}
\][/tex]
3. Simplify the right side of the equation. Since [tex]\(W \cdot H\)[/tex] in the numerator and denominator cancel each other out, you're left with:
[tex]\[
\frac{A}{W \cdot H} = L
\][/tex]
4. Rewriting the equation, we get:
[tex]\[
L = \frac{A}{W \cdot H}
\][/tex]
Thus, the correct option is:
[tex]\[
L = \frac{A}{W \cdot H}
\][/tex]
Therefore, the correct answer is the third option, which corresponds to:
[tex]\[
\boxed{3}
\][/tex]
