Step 1 :Given the height of the aquarium as \(11.5\) inches, the length as \(10\) inches, and the volume as \(1,150\) cubic inches, we can use the formula for the volume of a rectangular prism: \(Volume = Length \times Width \times Height\)
Step 2 :Plug in the given values and solve for the width: \(1150 = 10 \times Width \times 11.5\) => \(Width = \frac{1150}{10 \times 11.5}\) => \(Width = 10\)
Step 3 :\(\boxed{Width = 10\) inches}