 What is the width of a rectangular prism if the length is 7 units, the height is 15 units, and the volume is 1,365 cubic units?




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.

What is the width of a rectangular prism if the length is 7 units, the height is 15 units, and the volume is 1,365 cubic units?

Learn how to find the width of a rectangular prism when given the length, height, and volume. This solution uses the formula for the volume of a rectangular prism, which is Volume = length × width × height. In this example, the volume is 1,365 cubic units, length is 7 units, and height is 15 units. Suitable for students in Grades 6-8.

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