Final answer:
To find the volume of a rectangular prism with given dimensions, use the formula V = lwh. Substitute the values in the formula to find the volume.
Step-by-step explanation:
To find the volume of a rectangular prism, we can use the formula V = lwh, where V is the volume, l is the length, w is the width, and h is the height.
In this case, the length and width are both x, and the height is 5x + 4x + 1.
So, the volume of the prism is V = x * x * (5x + 4x + 1).
Now, we can simplify the expression to find the volume.
Using the distributive property, we have V = x * x * 9x + x.
Combining like terms, we get V = 9x^3 + x^2.
Therefore, the volume of the rectangular prism is 9x^3 + x^2 cubic units.