The length, breadth and height of a cuboid are 13m, 10m and 5m respectively. Volume of cuboid is :

Options

A. `135m^(3)`
B. `650m^(2)`
C. `650m^(3)`
D. `450m^(3).`

Answer

To find the volume of the cuboid, we can use the formula for the volume of a cuboid, which is given by:

\[ \text{Volume} = \text{Length} \times \text{Breadth} \times \text{Height} \]

### Step-by-Step Solution:

1. **Identify the dimensions of the cuboid**:
- Length (L) = 13 m
- Breadth (B) = 10 m
- Height (H) = 5 m

2. **Substitute the dimensions into the volume formula**:
\[ \text{Volume} = L \times B \times H \]
\[ \text{Volume} = 13 \, \text{m} \times 10 \, \text{m} \times 5 \, \text{m} \]

3. **Calculate the product of the dimensions**:
- First, multiply the length and breadth:
\[ 13 \times 10 = 130 \]
- Next, multiply the result by the height:
\[ 130 \times 5 = 650 \]

4. **Write the final answer with the correct unit**:
\[ \text{Volume} = 650 \, \text{m}^3 \]

### Final Answer:
The volume of the cuboid is **650 m³**.

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