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 $$ imes 46^{\prime \prime} $$ long $$ imes 20 $$ " 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

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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 $$ 	imes 46^{\prime \prime} $$ long $$ 	imes 20 $$ " 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

UpStudy AI · Accepted Answer

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.
Kyle's trunk can fit about 50 soccer balls.

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