Question

A fish tank has the dimensions 40cm 30cm 50cm. What is the capacity

Answer 1

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 * ($\frac{1 L}{1,000 mL}$ ) ;

= ($\frac{60,000}{1,000}$) 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 * ($\frac{0.264172 gal}{1 L}$) ;

= [(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 Brainly community —

and wishing you well in your academic pursuits!

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Answer 2

The capacity is 60,000 cm^3. To find this answer, I found the volume of the fish tank. To find the volume of something, multiply length by width by height.