The dimensions of a class- room are length = 15 m. breadth =12m and height 7.5 m Find . How many children can be accommodated in this class - room assuming ` 3.6m ^(3)` of air is needed for each child.

Answer

To find out how many children can be accommodated in the classroom, we need to follow these steps:

### Step 1: Calculate the volume of the classroom.
The formula for the volume \( V \) of a rectangular prism (classroom) is given by:

\[ V = \text{length} \times \text{breadth} \times \text{height} \]

Given:
- Length = 15 m
- Breadth = 12 m
- Height = 7.5 m

Substituting the values:

\[ V = 15 \, \text{m} \times 12 \, \text{m} \times 7.5 \, \text{m} \]

### Step 2: Perform the multiplication.
First, calculate \( 12 \times 7.5 \):

\[ 12 \times 7.5 = 90 \, \text{m}^2 \]

Now, multiply this result by the length:

\[ V = 15 \, \text{m} \times 90 \, \text{m}^2 = 1350 \, \text{m}^3 \]

### Step 3: Determine the volume of air required per child.
It is given that each child requires \( 3.6 \, \text{m}^3 \) of air.

### Step 4: Calculate the number of children that can be accommodated.
To find the number of children \( N \), we divide the total volume of the classroom by the volume required per child:

\[ N = \frac{\text{Total Volume}}{\text{Volume per child}} = \frac{1350 \, \text{m}^3}{3.6 \, \text{m}^3} \]

### Step 5: Perform the division.
Calculating the division:

\[ N = \frac{1350}{3.6} \]

To simplify, we can multiply both the numerator and the denominator by 10 to eliminate the decimal:

\[ N = \frac{13500}{36} \]

Now, divide \( 13500 \) by \( 36 \):

\[ N = 375 \]

### Final Answer:
Thus, the number of children that can be accommodated in the classroom is **375**.

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