The breadth and height of a rectangular solid are 1.20 m and 0.80 m respectively. If the volume of the cuboid is `1.92 m^(3)` , Find its length.

Answer

To find the length of the rectangular solid (cuboid) given its breadth, height, and volume, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Given Information:**
- Breadth (B) = 1.20 m
- Height (H) = 0.80 m
- Volume (V) = 1.92 m³
- Length (L) = ?

2. **Recall the Formula for Volume of a Cuboid:**
The volume (V) of a cuboid is given by the formula:
\[ V = L \times B \times H \]

3. **Substitute the Known Values into the Formula:**
We can substitute the known values into the volume formula:
\[ 1.92 = L \times 1.20 \times 0.80 \]

4. **Calculate the Product of Breadth and Height:**
First, calculate \(1.20 \times 0.80\):
\[ 1.20 \times 0.80 = 0.96 \]

5. **Rewrite the Equation:**
Now, substitute this back into the equation:
\[ 1.92 = L \times 0.96 \]

6. **Solve for Length (L):**
To find L, divide both sides by 0.96:
\[ L = \frac{1.92}{0.96} \]

7. **Perform the Division:**
Now, calculate \( \frac{1.92}{0.96} \):
\[ L = 2 \]

8. **State the Final Answer:**
Therefore, the length of the cuboid is:
\[ L = 2 \text{ m} \]