To find the width of the rectangle, we can use the formula for the volume of a rectangular prism (box), which is given by:
\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \]
In this case, we know the volume, height, and length:
- Volume \( V = 90 , \text{ft}^3 \)
- Height \( H = 12 , \text{ft} \)
- Length \( L = 3 , \text{ft} \)
We can rearrange the formula to solve for the width \( W \):
\[ W = \frac{V}{L \times H} \]
Now plug in the known values:
\[ W = \frac{90 , \text{ft}^3}{3 , \text{ft} \times 12 , \text{ft}} \]
Calculating the denominator:
\[ 3 , \text{ft} \times 12 , \text{ft} = 36 , \text{ft}^2 \]
Now we can calculate the width:
\[ W = \frac{90 , \text{ft}^3}{36 , \text{ft}^2} = 2.5 , \text{ft} \]
Thus, the width of the rectangle is \( 2.5 , \text{ft} \).
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