Question

The density of a fish tank is 0.4 fish over feet cubed. There are 12 fish in the tank. What is the volume of the tank?Will fan and Medal

Answer 1

The answer is:  30 ft³ ;  or, write as:  30 cubic feet .
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Explanation: 
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Given:
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Density = 0.4 fish(es) per cubic foot (or, feet);
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or, "Density = 0.4 fish / ft³ ;
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And, given: "12 fish in the tank." ;
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And Density = (value; in this case, "number of fish" / unit volume);

We are given:  Density, "D" = 0.4 fish / 1 ft³
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In our case, our volume is in "cubic ft." ; or, "ft³ ;
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We want to find the actual volume of the tank (in "cubic feet"; or, " ft³ ");
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 →  (1 ft³ / 0.4 fish) * 12 fish  = _____?  ft³ ?

 →  On the "left-hand side" of the equation; the units of "fish" cancel out to "1"; and we are left with units of "ft³ " ; which is the units for which we wish to solve.
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  → So, so have  (1 ft³ * 12) / (0.4) = 12 ft³ / 0.4 = 30 ft³ .
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  → The answer is:  30 ft³ ;  or, write as:  30 cubic feet .
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