Problem

12. Suppose you know that the height of the water in the aquarium is $11 \frac{1}{2}$ inches, the length is 10 inches, and the volume is 1,150 cubic inches. Write the equation you might use to find the width of the aquarium.

Answer

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Answer

\(\boxed{Width = 10\) inches}

Steps

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}

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