Maria has several containers that are in the shape of a rectangular prism with a square base. The containers all have dimensions such that the edges of the square base are centimeters less than the container’s height, as shown in the figure. Which of the following functions could model the volume of a container, in cubic centimeters, where x represents the height, in centimeters, of the container?

Question

Maria has several containers that are in the shape of a rectangular prism with a square base. The containers all have dimensions such that the edges of the square base are  centimeters less than the container’s height, as shown in the figure. Which of the following functions  could model the volume of a container, in cubic centimeters, where x represents the height, in centimeters, of the container?

GPT 3.5 · Answer

The volume of a rectangular prism with a square base is given by the formula V = x(x-2)(x-2), where x is the height of the container.

Therefore, the function that could model the volume of the container is V(x) = x(x-2)(x-2).