The ocean sunfish weighs up to a ton, spans 10 feet tip to fin, and burns about as many calories per day as a housecat. Here is what the math actually looks like and why size alone does not tell the whole story.
The biggest single variable in this chart is not size. It is thermoregulation. Mammals and birds burn enormous energy keeping internal temperatures stable regardless of the environment. Fish, reptiles, and amphibians let ambient temperature drive their chemistry.
This is why the saltwater crocodile (450 kg) burns fewer calories per day than a domestic cat (4 kg), and why the Mola Mola at a full ton can survive eating relatively little. Being cold-blooded is, metabolically, an enormous advantage in a resource-scarce ocean.
Its subcutaneous gelatinous capsule, documented by Watanabe and Sato (2008) as constituting up to 44% of adult body mass, is 89.8% water held in a collagen and elastin mesh. This tissue has near-zero metabolic cost but provides buoyancy and structural support.
The result: the Mola has enormous physical volume and impressive mass, but a large fraction of that mass requires almost no fuel to maintain. It is the biological equivalent of building a skyscraper out of foam instead of steel. Same footprint, a fraction of the structural cost.
The ruby-throated hummingbird makes the opposite bet. At roughly 3 grams, it burns approximately 300 kcal per kilogram per day, more than any other bird and close to the ceiling for vertebrate metabolism. Its heart beats up to 1,260 times per minute in flight.
The hummingbird and the Mola represent the two ends of a single evolutionary spectrum: how much metabolic machinery do you build, and how fast do you run it? Neither strategy is wrong. They are both wildly successful in their niches.
Kleiber's Law gives us predicted BMR from mass alone. Real animals deviate based on activity level, diet, climate, reproductive state, and body composition. The Mola values here are estimated using the ectotherm SMR formula (intercept ~6) rather than measured directly, as very few calorimetric studies exist for live Mola Mola.
The density figures for body composition are illustrative approximations synthesized from the literature. The qualitative story, Mola as an extreme metabolic outlier due to ectothermy and gelatinous body composition, is well-supported. Treat the exact numbers as order-of-magnitude estimates.