Question

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.

Answer 1

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

`\begin{gathered} Volume=882in^3 \\ width(w)=7in \\ height(h)=7in \end{gathered}`

To Determine: The length of the acquarium

Solution

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

`Volume(rectangular-prism)=length* width* height`

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

`\begin{gathered} 882in^3=l*7in*7in \\ 882in^3=l*49in^2 \\ l=(882in^3)/(49in^2) \\ l=18in \end{gathered}`

Hence, the length of the 18 inches