The dimensions of a godown are 40 m, 25 m and 10 m. If it is filled with cuboidal boxes each of dimensions `2 m xx 1.25 m xx 1 m`, then the number of boxes will be

Options

A. 1800
B. 2000
C. 4000
D. 8000

Answer

To find the number of cuboidal boxes that can fit into the godown, we will follow these steps:

### Step 1: Calculate the Volume of the Godown
The volume \( V \) of a cuboid is calculated using the formula:
\[ V = \text{Length} \times \text{Breadth} \times \text{Height} \]
Given the dimensions of the godown:
- Length = 40 m
- Breadth = 25 m
- Height = 10 m

Substituting the values into the formula:
\[ V_{\text{godown}} = 40 \, \text{m} \times 25 \, \text{m} \times 10 \, \text{m} = 10000 \, \text{m}^3 \]

### Step 2: Calculate the Volume of One Cuboidal Box
Using the same volume formula for the cuboidal boxes:
- Length = 2 m
- Breadth = 1.25 m
- Height = 1 m

Substituting the values:
\[ V_{\text{box}} = 2 \, \text{m} \times 1.25 \, \text{m} \times 1 \, \text{m} = 2.5 \, \text{m}^3 \]

### Step 3: Calculate the Number of Boxes that Fit in the Godown
To find the number of boxes that can fit into the godown, we divide the volume of the godown by the volume of one box:
\[ \text{Number of boxes} = \frac{V_{\text{godown}}}{V_{\text{box}}} = \frac{10000 \, \text{m}^3}{2.5 \, \text{m}^3} \]

Calculating this gives:
\[ \text{Number of boxes} = 4000 \]

### Final Answer
The total number of cuboidal boxes that can fit in the godown is **4000**.

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