Final answer:
The volume of a bathtub with dimensions 13.44 dm in length, 5.920 dm in width, and 2.54 dm in depth is calculated as 202.09459 cubic decimeters, which is equivalent to approximately 202 liters, since 1 dm³ is equal to 1 liter.
Step-by-step explanation:
To calculate the approximate volume of a rectangular bathtub, we multiply its length, width, and depth. Given the dimensions 13.44 dm (length), 5.920 dm (width), and 2.54 dm (depth), we compute the volume using the formula Volume = length × width × depth. Performing this calculation:
Volume = 13.44 dm × 5.920 dm × 2.54 dm
Volume ≈ 202.09459 dm³
Since 1 liter is equivalent to 1 cubic decimeter, the volume in liters is approximately equal to the volume in cubic decimeters. Therefore the bathtub can hold about 202 liters of water when rounded to three significant figures for practical measurement. The unit of liters is suitable because milliliters would be too minuscule for such large capacities as a bathtub.