Answer :
Final answer:
The water bath contains approximately 657.81 liters of water. This is calculated by first converting the unused depth from inches to meters, then subtracting it from the overall depth, and finally calculating the water volume using the remaining dimensions and converting from cubic meters to liters.
Explanation:
To find out how many liters of water are in the water bath, we'll calculate its volume. The water bath dimensions are 1.55 m in length (L), 0.810 m in width (W), and 0.580 m in depth (H). However, it is filled to 2.27 inches less than its full depth. We need to convert 2.27 inches to meters to maintain consistent units (1 inch = 0.0254 meters): 2.27 inches * 0.0254 meters/inch = 0.057658 meters.
We subtract this from the full depth to get the water depth:
0.580 m - 0.057658 m = 0.522342 m (water depth)
Now, we calculate the volume of the water in the bath:
Volume (V) = L * W * H_water
V = 1.55 m * 0.810 m * 0.522342 m
V ≈ 0.65781267 m³
To convert cubic meters to liters (1 m³ = 1000 liters), we multiply:
V = 0.65781267 m³ * 1000 liters/m³ = 657.81267 liters
Therefore, the approximate volume of water in the bath is 657.81 liters, considering the significant figures provided in the measurements.
