A rectangular prism has a length of 18 meters, a height of 3 meters, and a width of 4 meters. What is its volume, in cubic meters?

1. ### Break Down the Problem

To find the volume of a rectangular prism, we need to use the formula for volume, which is given by: $V = l \times w \times h$ where:

• $V$ = volume
• $l$ = length
• $w$ = width
• $h$ = height

2. ### Relevant Concepts

In this problem, we have:

• Length ($l$) = 18 meters
• Width ($w$) = 4 meters
• Height ($h$) = 3 meters

3. ### Analysis and Detail

We will substitute the values of length, width, and height into the volume formula: $V = 18\, \text{m} \times 4\, \text{m} \times 3\, \text{m}$

Now we perform the multiplication step-by-step:

• First, calculate $l \times w$: $18\, \text{m} \times 4\, \text{m} = 72\, \text{m}^2$
• Next, multiply the result by height $h$: $72\, \text{m}^2 \times 3\, \text{m} = 216\, \text{m}^3$

4. ### Verify and Summarize

The calculated volume is $216\, \text{m}^3$. The calculation confirms that substituting the dimensions into the volume formula yields the correct results.

Final Answer

The volume of the rectangular prism is $216$ cubic meters.