The volume of a cuboid is ` 7.68 m ^(3) `if its length =3.2 m and height = 1.0 m : find its breadth.

Answer

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

### Step-by-Step Solution

1. **Write down the formula for the volume of a cuboid.**
The volume \( V \) of a cuboid is given by the formula:
\[ V = \text{length} \times \text{breadth} \times \text{height} \]

2. **Substitute the known values into the formula.**
We know:
- Volume \( V = 7.68 \, \text{m}^3 \)
- Length \( L = 3.2 \, \text{m} \)
- Height \( H = 1.0 \, \text{m} \)

Substituting these values into the volume formula gives:
\[ 7.68 = 3.2 \times \text{breadth} \times 1.0 \]

3. **Simplify the equation.**
This simplifies to:
\[ 7.68 = 3.2 \times \text{breadth} \]

4. **Isolate the breadth.**
To find the breadth, divide both sides of the equation by 3.2:
\[ \text{breadth} = \frac{7.68}{3.2} \]

5. **Calculate the division.**
Performing the division:
\[ \text{breadth} = \frac{7.68}{3.2} = 2.4 \, \text{m} \]

### Final Answer
The breadth of the cuboid is \( 2.4 \, \text{m} \).

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