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# Volume Problem?

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An aquarium is 40 inches long, 25 inches wide, and 30 inches high. It is filled to a depth of 24 inches. If you put a rock in the aquarium which has volume 500 inches3how much higher will the water go? (Answer to the nearest 0.1 inches)

Jul 2, 2018

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The initial volume of tank: $$40*25*30=30,000$$ inches^3

The depth of 24 inches: $$40*25*24=24,000$$ inches^3

If the rock, with a volume of 500cm^3, is put in, the total volume will be:$$24,000+500=24,500$$ icnhes^3

We know that our aquarium is 40 inches long, and 25 inches wide, so we have to find the height, that will equal our volume of 24,500 icnhes^3.

So, $$40*25=1000$$, and inches$$\frac{24500}{1000}=24.5$$. We know that our initial height was 24 inches, thus $$24.5-24=\boxed{0.5}$$ inches increase.

Jul 2, 2018