Solve for [tex]\( L \)[/tex]:

[tex]\[ A = L \cdot W \cdot H \][/tex]

A. [tex]\( L = \frac{A W}{H} \)[/tex]
B. [tex]\( L = \frac{W H}{A} \)[/tex]
C. [tex]\( L = \frac{A}{W H} \)[/tex]
D. [tex]\( L = \frac{W}{H A} \)[/tex]



Answer :

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]
Option C is correct
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