Final answer:
To calculate the water volume in liters for a bathtub 13.44 dm in length, 5.920 dm in width, and 2.54 dm in depth, multiply these dimensions. The equation '3x 12' mentioned by the student appears to be a typo as it is not relevant to the given bathtub volume calculation.
Step-by-step explanation:
The problem given is to calculate the volume of water in a bathtub when Mia turns on the faucet. First, we must calculate the volume of a common bathtub using the dimensions provided: a length of 13.44 dm, a width of 5.920 dm, and a depth of 2.54 dm. Since the unit of capacity more suitable for this measurement is liters and 1 cubic decimeter (dm3) is equivalent to 1 liter, we multiply these dimensions to get the volume in liters.
The equation for the volume V of a rectangular prism (like a bathtub) is V = length × width × depth. Therefore, V = 13.44 dm × 5.920 dm × 2.54 dm. Multiplying these numbers gives us the volume in liters, which would approximately hold the amount of water in the bathtub.
As for the equation '3x 12' mentioned, it seems unrelated to the context of the problem and is likely a typo. However, if '3x 12' refers to the rate at which the bathtub fills (with x representing some factor), it would still require unit clarification and additional information to solve for the time or the amount of water that the faucet adds to the tub.