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The given expression for the volume of the storage box is:

\[
V = l \cdot w \cdot (w + 2)
\]

We are asked to find the volume when:

\[
l = 3 \, \text{feet}, \quad w = 2 \, \text{feet}.
\]

Substituting these values into the formula:

\[
V = 3 \cdot 2 \cdot (2 + 2) = 3 \cdot 2 \cdot 4.
\]

Now, calculate the result:

\[
V = 24 \, \text{cubic feet}.
\]

The volume of the box is **24 cubic feet**.

Would you like more details or have any questions?

Here are 5 related questions to deepen your understanding:
1. How does changing the length \( l \) affect the volume?
2. If the width \( w \) increases by 1 foot, how would the volume change?
3. What is the general formula for the volume of a box with different side lengths?
4. How does the formula for volume compare to the formula for surface area?
5. Can you derive the formula for volume given different relationships between \( l \), \( w \), and height?

**Tip:** When solving problems with multiple variables, substituting known values into the equation step by step helps ensure accuracy.

The volume of a storage box can be found using the expression l · w(w + 2). Find the volume of the box if l = 3 feet and w = 2 feet.

Learn how to calculate the volume of a storage box using the formula V = l · w · (w + 2). This example shows how to find the volume when l = 3 feet and w = 2 feet, resulting in 24 cubic feet. Ideal for students in Grades 5-7.

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