Final answer:
The question about the length of DM cannot be answered due to insufficient information. For geometric calculations, more details about the shape are needed. If volume is the topic, then length, width, and depth are multiplied to find the volume.
Step-by-step explanation:
The question seems to be about finding the length of DM given that LN is 22 cm and LM forms a 45-degree angle. Unfortunately, the information provided is incomplete to accurately determine the length of DM. Typically, to calculate an unknown length in a geometric shape such as a triangle or a rectangle, additional information about the shape is necessary. This could include the lengths of other sides, angles, or specific properties if it is a special shape like a right triangle. Without this necessary information, or a clear understanding of the figures involved, it's impossible to calculate the length of DM.
In the context of volume calculation, the length, width, and depth are multiplied together to find the volume of a three-dimensional figure, as demonstrated by the calculation 13.44 dm x 5.920 dm x 2.54 dm resulting in a volume of 202.09459... dm³, which is commonly rounded to 202 dm³ or 202 liters when considering significant figures.
If the student provides additional information regarding the geometric figures involved or clarifies the relationship between LN, LM, and DM, a solution may be provided. For accurate help with homework, it is essential that the question includes all necessary details.