The answer is: " 15.85 gal " .
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β The capacity of the fish tank is: " 15.85 gal " .
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β (assuming that the fish tank is shaped like a "rectangular prism".).
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Explanation:
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To solve:
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Assuming the fish tank is shaped like a "rectangular prism" ;
β { that is: a "rectangular box"} ;
β We are asked to find the " capacity " of the fish tank.
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β To do this, let us begin by finding the volume, "V" ;
of the "rectangular prism / box" ;
β as follows:
β Volume, "V" = Length (L) * width (w) * (height) ;
β Plug in the given values for "L" , "w", and "h" ; in any order; to calculate the Volume, "V" ,
β The given dimensions are: " 40 cm " ; " 30 cm " ; and "50 cm " ;
As such:
The volume, "V" = (40 cm) * (30 cm) * (50 cm) ;
= (40 * 30 * 50) cmΒ³ ;
= 60, 000 cmΒ³ .
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Technically, this value COULD work for the answer (for the "capacity" of the fish tank).
However, there is a better answer.
β {Note: The following lengthy, extensive β yet thorough β explanations with calculations that explain why βand that lead to the best answer.}.
β Please keep reading for further information and insight into the best answer.
β Here is the beginning of the explanation:
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Note the following "exact conversion" {"equivalent measurements"]:
β " 1 cmΒ³ " {that is: " 1 cubic centimeter " ;
β {also abbreviated: " 1 cc " β in medicine/pharmacy} ;
= " 1 mL " {that is: " 1 milliliter " .}.
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β To recap: " 1 cmΒ³ = 1 mL " {exact conversion}.
By convention, units of "cmΒ³ " {cubic centimeters} usually refer to volumes of solids; and units of "mL" usually refer to units of liquids or solutions.
{Units of "cc" ; in medicine, pharmacy, hospitals, refer to units of liquid or aqueous solutions or elixir/syrups}.
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β Note that the question asks for the "capacity" of the "fish tank".
β This implies measurement of "liquid water".
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β Note the following exact conversions:
β " 1000 cmΒ³ = 1000 mL = 1 L " .
β {Note: " 1 L = 1 Liter " .}.
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So: " 60, 000 cmΒ³ = 60, 000 mL " .
β Convert this value to "L" {Liters}:
β 60,000 mL * (
) ;
= (
) L ;
= 60 L .
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Technically, this answer COULD be used; however, the capacity of a fish tank is usually measured in "gallons" {abbreviated: "gal".}.
β So we convert: " 60 L " ;
β to the corresponding value {in "gallons" ; that is: "gal" .}.
β Note: " 1 L β 0.264172 gal " .
β As such:
60 L * (
) ;
= [(60) * (0.264172)] gal ;
= " 15.8503 gal " .
β Round to: " 15.85 gal ".
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The answer is: " 15.85 gal " .
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The capacity of the fish tank is: " 15.85 gal " .
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Hope this answer β and accompanying explanation β is helpful to you.
Best wishes within the community β
and wishing you well in your academic pursuits!
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