The formula for the volume of a rectangular prism is:

$V = \text{length} \times \text{width} \times \text{height}$

Given:

• Length ($l$) = 7 yards
• Height ($h$) = 18 yards
• Volume ($V$) = 2,343.6 cubic yards

We need to find the width ($w$). Rearranging the formula to solve for $w$:

$w = \frac{V}{l \times h}$

Substitute the given values:

$w = \frac{2343.6}{7 \times 18}$

First, calculate the denominator:

$7 \times 18 = 126$

Now divide the volume by the product of length and height:

$w = \frac{2343.6}{126} = 18.6 \, \text{yards}$

Final Answer:

The width of the rectangular prism is 18.6 yards.

Would you like further explanation or have any other questions?

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Here are 5 related questions to consider:

1. How would the width change if the volume were doubled?
2. What is the surface area of this rectangular prism?
3. How does the volume formula change for other 3D shapes like a cylinder?
4. What is the effect of increasing the length by 50% on the width, keeping the volume constant?
5. If the width is reduced by half, what would be the new volume?

Tip: Always double-check units in geometry problems to ensure consistency!