Final answer:
To calculate how many baseballs can fit in the pool, convert the pool's dimensions from inches to feet, find the volume in cubic feet, and then multiply by the number of baseballs per cubic foot, resulting in 288,000 baseballs.
Step-by-step explanation:
The correct answer is option (b). To determine how many baseballs can fit in the pool, we first need to calculate the volume of the pool. The volume of a rectangular prism (which is the shape of the pool) is found by multiplying its length, width, and height. Since the pool's dimensions are given in inches, we'll first convert each dimension to feet (there are 12 inches in 1 foot).
Length in feet = 240 inches ÷ 12 inches/foot = 20 feet
Width in feet = 144 inches ÷ 12 inches/foot = 12 feet
Height in feet = 120 inches ÷ 12 inches/foot = 10 feet
Now, calculate the volume:
Volume of pool = Length × Width × Height = 20 feet × 12 feet × 10 feet = 2400 cubic feet
Since we know 120 baseballs fit in one cubic foot, we can determine how many baseballs fit in the pool by multiplying the pool's volume by 120.
Number of baseballs = Pool volume × Baseballs per cubic foot
Number of baseballs = 2400 cubic feet × 120 baseballs/cubic foot = 288,000 baseballs.