To find the width of the box, we can use the formula for the volume of a rectangular prism (box), which is:
\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \]
We are given:
- Volume = 12 ft³
- Length = 2 ft
- Height = 3 ft
We need to find the width (let's call it \( w \)). Plugging the values we have into the volume formula, we get:
\[ 12 = 2 \times w \times 3 \]
Now, we can simplify the right side:
\[ 12 = 6w \]
Next, to isolate \( w \), we divide both sides by 6:
\[ w = \frac{12}{6} = 2 \]
Therefore, the width of the box is \( 2 \) ft.
In summary, I found the width by using the volume formula for a rectangular prism and substituting the known values to solve for the width.