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27 February, 05:54

Nature center has a fish tank shaped like a rectangular prism that measures 6 feet long by 4 feet wide by 4 feet high. It can be stopped safely with three small fish in each cubic foot of water. How many small fish can fit safely in the tank question?

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  1. 27 February, 08:36
    0
    288 small fish

    Step-by-step explanation:

    The first thing is to calculate the volume of the prism, which would be the area of the base (length by width) and that by the height, that is:

    a = l * w * h

    l = 6

    w = 4

    h = 4

    Replacing

    a = 6 * 4 * 4

    a = 96 cubic feet

    they tell us that per cubic foot there is room for 3 small fish, therefore:

    96 * 3 = 288

    Which means that there are 288 small fish.
  2. 27 February, 09:03
    0
    192 fishes

    Step-by-step explanation:

    The tank is a rectangular prism, so its volume can be calculated multiplying its length, width and height:

    Volume = 6 * 4 * 4 = 64 ft^3

    For each cubic foot, it's safe to put 3 small fish, so the number of fishes that can be safely put into the tank is calculated with the following rule of three:

    1 cubic foot - > 3 fishes

    64 cubic feet - > X fishes

    1/64 = 3/X

    X = 64*3 = 192 fishes
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