An aquarium is to be drained. The aquarium is shaped like a rectangular prism with length 33in, width 26in, and height 12in. Suppose water is pumped out of the aquarium at a rate of 396in3 per minute. If the aquarium starts completely full, how many minutes does it take to empty the aquarium?
Question
An aquarium is to be drained. The aquarium is shaped like a rectangular prism with length 33in, width 26in, and height 12in. Suppose water is pumped out of the aquarium at a rate of 396in3 per minute. If the aquarium starts completely full, how many minutes does it take to empty the aquarium?
Solution
To solve this problem, we need to follow these steps:
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First, we need to find the volume of the aquarium. The volume of a rectangular prism is given by the formula: Volume = length * width * height. So, the volume of the aquarium is 33in * 26in * 12in = 10,296 cubic inches.
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Next, we need to find out how long it takes to empty the aquarium. We know that the pump removes water at a rate of 396 cubic inches per minute. So, to find out how long it takes to empty the aquarium, we divide the total volume of the aquarium by the rate at which the pump removes water. That is, 10,296 cubic inches / 396 cubic inches per minute = 26 minutes.
So, it takes 26 minutes to empty the aquarium.
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