The answer is: " 15.85 gal " .
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→ The capacity of the fish tank is: " 15.85 gal " .
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→ (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" ;
→ { that is: a "rectangular box"} ;
→ We are asked to find the " capacity " of the fish tank.
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→ To do this, let us begin by finding the volume, "V" ;
of the "rectangular prism / box" ;
→ as follows:
→ Volume, "V" = Length (L) * width (w) * (height) ;
→ Plug in the given values for "L" , "w", and "h" ; in any order; to calculate the Volume, "V" ,
→ 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) cm³ ;
= 60, 000 cm³ .
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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.
→ {Note: The following lengthy, extensive — yet thorough — explanations with calculations that explain why —and that lead to the best answer.}.
→ Please keep reading for further information and insight into the best answer.
→ Here is the beginning of the explanation:
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Note the following "exact conversion" {"equivalent measurements"]:
→ " 1 cm³ " {that is: " 1 cubic centimeter " ;
→ {also abbreviated: " 1 cc " — in medicine/pharmacy} ;
= " 1 mL " {that is: " 1 milliliter " .}.
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→ To recap: " 1 cm³ = 1 mL " {exact conversion}.
By convention, units of "cm³ " {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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→ Note that the question asks for the "capacity" of the "fish tank".
→ This implies measurement of "liquid water".
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→ Note the following exact conversions:
→ " 1000 cm³ = 1000 mL = 1 L " .
→ {Note: " 1 L = 1 Liter " .}.
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So: " 60, 000 cm³ = 60, 000 mL " .
→ Convert this value to "L" {Liters}:
→ 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".}.
→ So we convert: " 60 L " ;
→ to the corresponding value {in "gallons" ; that is: "gal" .}.
→ Note: " 1 L ≈ 0.264172 gal " .
→ As such:
60 L * (
) ;
= [(60) * (0.264172)] gal ;
= " 15.8503 gal " .
→ 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 — and accompanying explanation — is helpful to you.
Best wishes within the community —
and wishing you well in your academic pursuits!
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