Final answer:
The volume of a right rectangular prism can be found by multiplying the area of the base by the height. In this case, the base is a square with side length x units, and the height is 3 units greater than the length of the base, so it is x+3 units. The expression that represents the volume of the prism is D. x+6x^2+9x.
Step-by-step explanation:
The volume of a right rectangular prism can be found by multiplying the area of the base by the height. The volume of a right rectangular prism can be found by multiplying the area of the base by the height.
In this case, the base is a square with side length x units, and the height is 3 units greater than the length of the base, so it is x+3 units. The expression that represents the volume of the prism is D. x+6x^2+9x.
In this case, the base is a square with side length x units, and the height is 3 units greater than the length of the base, so it is x+3 units.
The area of the base is x * x = x^2 square units. Therefore, the volume of the prism is (x^2) * (x+3) = x^3 + 3x^2 cubic units.
Therefore, the expression that represents the volume of the prism is D. x+6x^2+9x.