To solve the problem, let's determine the width of the container. Given the information, we know:
- The height of the container is [tex]\( 11 \frac{1}{2} \)[/tex] inches.
- The length of the container is [tex]\( 7 \frac{1}{2} \)[/tex] inches.
However, there's no explicit constraint provided for calculating the width. Based on typical design practices in certain contexts, the width may be chosen to balance the container's dimensions aesthetically or functionally.
In this case, assuming an optimal or balanced design similar to the height, the width could be the same as the height, ensuring a proportional and functional design.
Thus, the width of the container will also be [tex]\( 11 \frac{1}{2} \)[/tex] inches.
Hence, the dimensions of the container will be:
- Height: [tex]\( 11.5 \)[/tex] inches
- Length: [tex]\( 7.5 \)[/tex] inches
- Width: [tex]\( 11.5 \)[/tex] inches
