Question

a stadium has a section 15cm in length,12m in width and 3m in height. how many people can it hold if each person requires 6 M3 of air space?

Answer 1

The volume of a rectangular prism can be calculated using this formula:

`V_r=l\cdot w\cdot h`

Where "l" is the length, "w" is the width and "h" is the height.

In this case, you know that the dimensions of the section are:

`\begin{gathered} l=15m \\ w=12m \\ h=3m \end{gathered}`

Therefore, substituting values into the formula and evaluating, you get that its volume is:

According to the explanation given in the exercise, each person requires this volume of air space:

`V_{\text{air}}=6m^3`

Then, to find the number of people it can hold, you need to set up that:

`Number\text{ }of\text{ }people=\frac{V_{\text{section}}}{\text{V}_{\text{air}}}`

Hence, you get:

`Number\text{ }of\text{ }people=(540m^3)/(6m^3)=90`

Therefore, the answer is: 90 people.