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 ($V$) = 240 cm³
• Length = 4 cm
• Height = 6 cm

Let $w$ be the width. The formula becomes:

$240 = 4 \times w \times 6$

Now, solve for $w$:

$240 = 24w$

$w = \frac{240}{24}$

$w = 10 \, \text{cm}$

Therefore, the width of the rectangular prism is 10 cm.

Would you like more details, or do you have any questions?

Here are 5 related questions for further exploration:

1. What is the surface area of this rectangular prism?
2. How would the width change if the volume were doubled?
3. If the width was increased by 2 cm, what would the new volume be?
4. What is the diagonal length of the prism?
5. How would the formula change if the prism were a cube?

Tip: For any three-dimensional shape, knowing two dimensions and the volume allows you to easily calculate the third dimension using algebra.