Final answer:
The volume of a cube with height set at (x+1) is represented by the equation V = (x+1)³, which simplifies to V = x³ + 3x² + 3x + 1.
Step-by-step explanation:
To find the volume of a cube, you use the formula V = s³, where s is the length of one side of the cube. Given that the height (which is also the side length in a cube) is (x+1), you would cube this expression to get the volume of the cube.
So, the equation for the volume of the cube would be:
V = (x+1)³
Expanding this, we obtain:
V = x³ + 3x² + 3x + 1
This is the simplified expression for the volume of a cube with a height of (x+1).