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An aquarium can be modeled as a right rectangular prism and it can hold 882 cubicinches of water when it is full. Its width is 7 in and height is 7 in. Find the length ofthe aquarium in inches. Round your answer to the nearest tenth if necessary.

Respuesta :

Given: The dimension of an acquuarium modelled as a right rectangular prism as below

[tex]\begin{gathered} Volume=882in^3 \\ width(w)=7in \\ height(h)=7in \end{gathered}[/tex]

To Determine: The length of the acquarium

Solution

The volume of a rectangular prism can be calculated using the formula below

[tex]Volume(rectangular-prism)=length\times width\times height[/tex]

Let us substitute the given dimension into the formula above to calculate the length

[tex]\begin{gathered} 882in^3=l\times7in\times7in \\ 882in^3=l\times49in^2 \\ l=\frac{882in^3}{49in^2} \\ l=18in \end{gathered}[/tex]

Hence, the length of the 18 inches