Question

A school hall has dimensions 24 m by 15 m by 6 m. If each child requires 16 m³ of air, the number of children that can be accommodated in the hall is ______.

Options

• 120

• 135

• 140

• 125

Answer 1

A school hall has dimensions 24 m by 15 m by 6 m. If each child requires 16 m³ of air, the number of children that can be accommodated in the hall is 135.

Explanation:

We are asked to find how many children can be accommodated in a school hall with dimensions 24 m × 15 m × 6 m, where each child requires 16 m³ of air.

Step 1: Calculate the volume of the hall

The volume V of the hall is given by:

V = length × width × height

Substitute the given dimensions:

V = 24 × 15 × 6 = 2160 m³

Step 2: Calculate the number of children that can be accommodated

Each child requires 16 m³ of air. To find the number of children that can be accommodated, divide the total volume of the hall by the volume required per child:

Number of children = `V/16`

= `2160/16`

= 135