The size of an "iPhone Max" depends on the specific model you are asking about, as Apple has released multiple "Max" versions. Here's a breakdown based on the iPhone 13 Pro Max, which is a commonly referenced "Max" iPhone:
The iPhone 13 Pro Max measures 6.33 inches (160.8 mm) in height x 3.07 inches (78.1 mm) in width. It also has a depth of 0.30 inches (7.65 mm).
To provide a more comprehensive answer, it's helpful to specify which iPhone Max model you are interested in. For instance, there's also the iPhone XS Max, iPhone 11 Pro Max, and iPhone 12 Pro Max, each with slightly different dimensions.