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Answer :
Final answer:
The width of the aquarium is 15 inches, and the height is 20 inches. This was determined by applying the volume formula and solving the resulting equation.
Explanation:
This problem can be solved by using mathematical principles and understanding the formula for volume. The formula for finding the volume of a rectangular prism (like an aquarium) is length x width x height. Given that:
- Length of aquarium = 20 in.
- Volume of aquarium = 6000 in³.
- The height of the aquarium is 5 in. more than the width.
Let’s denote the width as 'x'. Thus, the height will be ‘x + 5’. Substitute these values into the volume formula: 20 * x * (x + 5) = 6000. Solving this equation yields x = 15 in., so the width of the aquarium is 15 in. and the height is 20 in.
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