Find the volume of a rectangular box having a length of 5 m, width of 3 m , and height of 4 m .

Answer

To find the volume of a rectangular box (cuboid), we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Dimensions**:
- Length (l) = 5 m
- Width (w) = 3 m
- Height (h) = 4 m

2. **Formula for Volume of a Rectangular Box**:
The volume (V) of a rectangular box can be calculated using the formula:
\[ V = l \times w \times h \]

3. **Substitute the Values into the Formula**:
Substitute the given dimensions into the volume formula:
\[ V = 5 \, \text{m} \times 3 \, \text{m} \times 4 \, \text{m} \]

4. **Calculate the Area of the Base**:
First, calculate the area of the base (length × width):
\[ \text{Area of Base} = 5 \, \text{m} \times 3 \, \text{m} = 15 \, \text{m}^2 \]

5. **Calculate the Volume**:
Now, multiply the area of the base by the height:
\[ V = 15 \, \text{m}^2 \times 4 \, \text{m} = 60 \, \text{m}^3 \]

6. **Final Answer**:
The volume of the rectangular box is:
\[ V = 60 \, \text{m}^3 \]