Final answer:
To find the largest possible volume given a specific surface area, you can use a cube and its surface area to volume ratio.
Step-by-step explanation:
The largest possible volume can be found by using a cube as it has the maximum volume for a given surface area. You can use the relation between the surface area and volume of a cube to find the largest possible volume.
Let's assume the side length of the cube is s. The surface area of the cube is given by SA = 6s², and the volume is given by V = s³.
Since we are given that the surface area available is 19200 cm², we can set up the equation 6s² = 19200 to find the side length s. Once we find the value of s, we can substitute it into the volume formula to find the largest possible volume.