Final answer:
To calculate the volume of water during a storm that fills a yard of dimensions 100 feet by 50 feet with 1.5 inches of water, first convert the yard dimensions to inches, then calculate the volume in cubic inches, and finally convert that to cubic centimeters. The result is approximately 17,697,726 cubic centimeters.
Step-by-step explanation:
To find the volume of water in cubic centimeters that will fill up a yard measuring 100 feet by 50 feet with a depth of 1.5 inches of water during a storm, we need to first convert all measurements to the same unit. Since depth is already given in inches and we want the final volume in cubic centimeters, we will convert the yard dimensions from feet to inches as well (1 foot = 12 inches).
First, convert the yard dimensions:
- Length: 100 feet = 100 × 12 inches = 1200 inches
- Width: 50 feet = 50 × 12 inches = 600 inches
Next, calculate the volume in cubic inches:
- Volume = Length × Width × Depth
- Volume = 1200 inches × 600 inches × 1.5 inches
- Volume = 1080000 cubic inches
- Lastly, convert the volume to cubic centimeters:
- 1 cubic inch = 16.387064 cubic centimeters
- Volume in cubic centimeters = 1080000 cubic inches × 16.387064 cm³/in³
- Volume in cubic centimeters = ~17697725.92 cm³
Therefore, the volume of water that will fill up the yard is approximately 17,697,726 cubic centimeters.