5) Kyle coaches soccer and wants to determine how many soccer balls will fit in his trunk. The web tells Kyle that a soccer ball's diameter is 8.65 inches. Kyle realizes that just using trunk volume will be an overestimate due to balls not fitting evenly into a trunk's length, width, or height. So Kyle measures his trunk to be about \( 44^{\prime \prime} \) wide \( \times 46^{\prime \prime} \) long \( \times 20 \) " tall. Thus, \( 44 / 8.65=5 \) balls will fit across the width, \( 46 / 8.65=5 \) across the length, and 20/8.65 = 2 can be stacked high (all values rounded down). About how many balls will fit? ( 12 balls 50 balls

To determine how many soccer balls will fit in Kyle's trunk, we can use the dimensions of the trunk and the diameter of the soccer balls. 1. **Calculate how many balls fit across each dimension:** - **Width:** \( \frac{44 \text{ inches}}{8.65 \text{ inches}} \approx 5.08 \) → 5 balls (rounded down) - **Length:** \( \frac{46 \text{ inches}}{8.65 \text{ inches}} \approx 5.31 \) → 5 balls (rounded down) - **Height:** \( \frac{20 \text{ inches}}{8.65 \text{ inches}} \approx 2.31 \) → 2 balls (rounded down) 2. **Multiply the number of balls that fit in each dimension:** \[ \text{Total balls} = \text{(balls across width)} \times \text{(balls across length)} \times \text{(balls stacked high)} \] \[ \text{Total balls} = 5 \times 5 \times 2 = 50 \] Thus, about **50 balls** will fit in Kyle's trunk.