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Estimate the weight of water in pounds in an aquarium with width 40 ft. Height 26 ft. The density of water is about 8.33 pounds per gallon. One gallon of water is approximately 0.134 cubic feet. Round to the nearest tenth

Estimate The Weight Of Water In Pounds In An Aquarium With Width 40 Ft Height 26 Ft The Density Of Water Is About 833 Pounds Per Gallon One Gallon Of Water Is A class=

Sagot :

Explanation

The formula for density is given as;

[tex]\text{density}=\text{ }\frac{mass}{volume}[/tex]

Given the height as 26ft, width as 40ft and length as 36ft we can get the volume of the water that will fill the aquarium to be.

[tex]\text{Volume = 40 x 26 x 36=37440 cubic ft}[/tex]

Since one gallon of water is approximately 0.134 cubic feet. Therefore, 37440 cubic feet becomes;

[tex]\frac{37440}{0.314}=279402.9851[/tex]

The mass becomes the weight;

[tex]\begin{gathered} \text{weight}=\text{ density x volume} \\ \text{weight}=\text{ 8.33 x279402.9851} \\ \text{weight}=\text{ 2327426.9Ibs} \end{gathered}[/tex]

Answer: First Option

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