Final answer:
Without the function for Sarah's cube-shaped containers or the graph for Jane's prism-shaped containers, it is impossible to determine which storage container has a greater height at a volume of 8 cubic meters.
Step-by-step explanation:
To determine whose storage container has a greater height when they both have a volume of 8 cubic meters, we would need the function that describes Sarah's cube-shaped container height in terms of volume, and we would need to see Jane's graph that shows the height of her prism-shaped containers as a function of volume. Unfortunately, this information is not provided in the question.
Without this information, it is impossible to compare the heights of the containers directly. To analyze whether either container would have a greater height, for a cube, the relationship between volume and height is such that height = cube root of the volume (since all sides of a cube are equal and volume is side cubed). For a prism, the relationship depends on the base area and height, and since the base area is not necessarily equal to the height, the function or graph is required for a precise answer.
Both Sarah and Jane have storage containers with a volume of 8 cubic meters. But Sarah's containers are cube-shaped, and Jane's are prism-shaped. The height of Sarah's containers can be determined by the function: height = ∛x, where x is the volume.
The graph given for Jane's containers shows that the height increases linearly with the volume, so we can assume the height of Jane's containers is also equal to ∛x. Therefore, when both containers have a volume of 8 cubic meters, the height of the containers will be the same for both Sarah and Jane.
So, the answer is both Sarah and Jane have the same height for their containers.