The capacity of a tank of dimensions (8 m `xx` 6 m `xx` 2.5 m) is

Options

A. 120 litres
B. 1200 litres
C. 12000 litres
D. 120000 litres

Answer

To find the capacity of a tank with dimensions 8 m × 6 m × 2.5 m, we will calculate the volume of the tank, which is in the shape of a cuboid. The formula for the volume \( V \) of a cuboid is given by:

\[ V = L \times B \times H \]

Where:
- \( L \) = Length of the cuboid
- \( B \) = Breadth of the cuboid
- \( H \) = Height of the cuboid

### Step 1: Identify the dimensions
- Length \( L = 8 \) m
- Breadth \( B = 6 \) m
- Height \( H = 2.5 \) m

### Step 2: Substitute the dimensions into the volume formula
\[ V = 8 \, \text{m} \times 6 \, \text{m} \times 2.5 \, \text{m} \]

### Step 3: Calculate the product of the dimensions
First, calculate \( 8 \times 6 \):
\[ 8 \times 6 = 48 \]

Next, multiply \( 48 \) by \( 2.5 \):
\[ 48 \times 2.5 = 120 \, \text{m}^3 \]

### Step 4: Convert cubic meters to liters
Since \( 1 \, \text{m}^3 = 1000 \, \text{liters} \):
\[ 120 \, \text{m}^3 = 120 \times 1000 = 120000 \, \text{liters} \]

### Final Answer
The capacity of the tank is \( 120000 \) liters.

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