To find the width of the rectangular prism, we can use the formula for the volume of a rectangular prism:

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

We are given:

• Volume ($V$) = 1,365 cubic units
• Length ($L$) = 7 units
• Height ($H$) = 15 units

Now, substitute the known values into the volume formula:

$1,365 = 7 \times \text{width} \times 15$

To solve for the width ($W$), first simplify the equation:

$1,365 = 105 \times \text{width}$

Now, divide both sides by 105:

$\text{width} = \frac{1,365}{105} = 13$

So, the width of the rectangular prism is 13 units.

Would you like further details or have any other questions? Here are 5 related questions to explore:

1. How would you calculate the surface area of a rectangular prism?
2. If the volume was doubled, how would that affect the dimensions?
3. How would you find the diagonal of a rectangular prism?
4. What if the height of the prism was halved, how would the volume change?
5. Can you solve for the dimensions of a prism if only the volume and one dimension were known?

Tip: When solving for a missing dimension, always isolate the unknown by using division or multiplication based on the formula.