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The height of a cube is set at (x+1). Create and simplify an equation to represent the volume of the cube.

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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).

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