A manufacturer produces boxes with dimensions that vary. The length of the box is \((x+3)\) inches, the width is \((x-2)\) inches, and the height is \((x+1)\) inches. The company needs to calculate the volume of each box to determine how much material is required for production. They also use this information to estimate shipping costs based on the space each box occupies.
1. Write the polynomial representing the volume of the box.
2. If \(x=4\), what is the volume of the box?
3. What is the polynomial representing the total surface area of the box?
4. If \(x=3\). what is the area of the base of the box?