Questions: A travel company is designing containers for a new type of cereal. Each container will be shaped like a triangular prism or a cylinder. The company wants to determine which shape will hold more cereal. If no design has been considered for the container shaped like a triangular prism, each width, in inches, of the container? A. 3 B. 4 C. 14 D. 15

The question asks which width, in inches, should be considered for a container shaped like a triangular prism to determine which shape will hold more cereal compared to a cylinder. However, the question does not provide enough information about the dimensions of the cylinder or the other dimensions of the triangular prism (such as height or length). Therefore, we cannot definitively determine which width will allow the triangular prism to hold more cereal without additional information.

To address the options provided:

A. 3
B. 4
C. 14
D. 15

Without knowing the height and length of the triangular prism or the dimensions of the cylinder, we cannot calculate the volume of the triangular prism for each width option. The volume of a triangular prism is calculated using the formula:

\[ \text{Volume} = \frac{1}{2} \times \text{base} \times \text{height} \times \text{length} \]

Since the base is related to the width, we would need the height and length to make a comparison. Similarly, the volume of a cylinder is calculated using:

\[ \text{Volume} = \pi \times \text{radius}^2 \times \text{height} \]

Without these additional details, we cannot determine which width will result in a larger volume for the triangular prism compared to the cylinder.

In summary, the question lacks sufficient information to determine which width option will allow the triangular prism to hold more cereal than the cylinder. Additional details about the dimensions of both shapes are necessary to make this comparison.