Write a simplified algebraic expression for the volume, V, of a rectangular prism that has a height 4 units longer than the length of the square base. evaluate the volume of x=10cm.

V = x^2 * (x + 4)

To simplify the algebraic expression for the volume, we need to break down the information given and define the variables involved.

Let's assume the side length of the square base is represented by "s" units.
According to the given information, the height of the rectangular prism is 4 units longer than the length of the square base.

So, the height can be represented as "s + 4" units.

The volume of a rectangular prism is calculated by multiplying the area of the base by the height.

The area of a square base can be represented as "s * s" or "s^2".

Therefore, the algebraic expression for the volume of the rectangular prism, V, can be written as V = s^2 * (s + 4).

To evaluate the volume of the rectangular prism when x = 10 cm, we substitute x with 10 in the expression.

V = (10)^2 * (10 + 4)
V = 100 * 14
V = 1400 cubic cm

So, the volume of the rectangular prism when x = 10 cm is 1400 cubic cm.