A cube and a sphere of equal edge and radius, made of the same substance are allowed to cool under identical conditions. Determine which of the two will cool at a faster rate.

Explanation

To determine which of the two objects—a cube and a sphere of equal edge and radius, made of the same substance—will cool at a faster rate, we can use the principles of heat transfer and the geometry of the shapes involved.

### Step-by-Step Solution:

1. **Understanding the Cooling Process**:
Both the cube and the sphere are cooling under identical conditions. The rate of cooling can be analyzed using Newton's Law of Cooling or Stefan-Boltzmann Law, which states that the rate of heat loss of a body is proportional to its surface area and inversely proportional to its volume.

2. **Define the Shapes**:
...