To determine how many people can fit standing on a volleyball court, follow these steps:
1. Determine the Dimensions of the Volleyball Court:
- The volleyball court dimensions are given as 18 meters in length and 9 meters in width.
2. Calculate the Area of the Volleyball Court:
- The formula to calculate the area of a rectangle is:
[tex]\[
\text{Area} = \text{Length} \times \text{Width}
\][/tex]
- Substituting the given dimensions:
[tex]\[
\text{Area} = 18 \, \text{m} \times 9 \, \text{m} = 162 \, \text{m}^2
\][/tex]
3. Average Space Needed per Person:
- On average, each person standing needs around 0.5 square meters of space. This estimation can vary, but we’ll use 0.5 square meters as a reasonable standard for a tightly packed group.
4. Calculate the Maximum Number of People:
- To find out how many people can fit within the volleyball court area, divide the total area by the space required per person.
[tex]\[
\text{Number of People} = \frac{\text{Total Area}}{\text{Space per Person}} = \frac{162 \, \text{m}^2}{0.5 \, \text{m}^2/\text{person}}
\][/tex]
- Performing the division:
[tex]\[
\text{Number of People} = 324
\][/tex]
Therefore, 324 people can fit standing on a volleyball court that measures 18 meters by 9 meters, considering that each person requires approximately 0.5 square meters of space.
