A school hall has the dimensions 30 m, 12 m 6 m, Find the number of children who can be accommodated, if each child should get `8 m^3` of space

Options

A. 240
B. 270
C. 250
D. 150

Answer

To find the number of children that can be accommodated in the school hall, we will follow these steps:

### Step 1: Calculate the volume of the hall
The volume \( V \) of a rectangular hall can be calculated using the formula:
\[ V = \text{length} \times \text{breadth} \times \text{height} \]
Given the dimensions of the hall:
- Length = 30 m
- Breadth = 12 m
- Height = 6 m

Substituting the values:
\[ V = 30 \, \text{m} \times 12 \, \text{m} \times 6 \, \text{m} \]

### Step 2: Perform the multiplication
Now, we will calculate the volume:
\[ V = 30 \times 12 = 360 \, \text{m}^2 \]
Next, multiply by the height:
\[ V = 360 \, \text{m}^2 \times 6 \, \text{m} = 2160 \, \text{m}^3 \]

### Step 3: Calculate the number of children
Each child requires \( 8 \, \text{m}^3 \) of space. To find the number of children \( n \) that can be accommodated, we divide the total volume of the hall by the volume required per child:
\[ n = \frac{V}{\text{volume per child}} = \frac{2160 \, \text{m}^3}{8 \, \text{m}^3} \]

### Step 4: Perform the division
Now, we will calculate the number of children:
\[ n = \frac{2160}{8} = 270 \]

### Conclusion
The number of children that can be accommodated in the school hall is \( 270 \).

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