dQ/dt and dT/dt are both rates of change, but they measure different things. dQ/dt measures the rate of change of heat, while dT/dt measures the rate of change of temperature.
Comparing dQ/dt and dT/dt of a cube and a globe can help us understand how different shapes and materials affect heat transfer. This information can be useful in designing and improving insulation, heating/cooling systems, and other technologies that involve heat exchange.
The shape of an object can affect its surface area and volume, which in turn can affect its dQ/dt and dT/dt. A cube has a larger surface area compared to a sphere of the same volume, so it can transfer heat more quickly. However, a sphere has a more compact volume, which means it can retain heat better and have a slower dT/dt compared to a cube.
Neither dQ/dt nor dT/dt is more accurate than the other. They both measure different aspects of heat transfer and can be useful in different situations. For example, dQ/dt can tell us how quickly heat is being transferred from one object to another, while dT/dt can tell us how quickly the temperature of an object is changing over time.
Other factors that can affect dQ/dt and dT/dt include the temperature difference between two objects, the type of heat transfer (conduction, convection, or radiation), and the presence of any insulating materials. Additionally, the environment and external factors such as wind, humidity, and pressure can also affect heat transfer and temperature change.