Calculate Cube Volume from 16 cm² Base Area: Step-by-Step Solution

To determine if it is possible to calculate the volume of the cube and then find it, we proceed as follows:

• Step 1: Identify the given information
  The base area of the cube is given as $16 \, \text{cm}^2$.
• Step 2: Apply the appropriate formula for the side length
  Since the base of a cube is a square, we have $s^2 = 16$, where $s$ is the side length.
• Step 3: Calculate the side length
  Solving for $s$, we find $s = \sqrt{16} = 4 \, \text{cm}$.
• Step 4: Calculate the volume of the cube
  The volume $V$ of a cube with side $s$ is $V = s^3$. Substituting in the side length, we get $V = 4^3 = 64 \, \text{cm}^3$.

Therefore, it is possible to calculate the volume of the cube, and the volume is $64 \, \text{cm}^3$.