Question

question an aquarium can be modeled as a right rectangular prism and it can hold 1224 cubic inches of water when it is full. its width is 9 in and height is 8 in. find the length of the aquarium in inches. round your answer to the nearest tenth if necessary. answer attempt 1 out of 2 in submit answer

Explanation:

Step1: Recall volume formula

The volume formula for a right - rectangular prism is $V = l\times w\times h$, where $V$ is volume, $l$ is length, $w$ is width, and $h$ is height.

Step2: Rearrange formula for length

We can rewrite the formula to solve for $l$: $l=\frac{V}{w\times h}$.

Step3: Substitute given values

We know that $V = 1224$ cubic inches, $w = 9$ inches, and $h = 8$ inches. So $l=\frac{1224}{9\times8}$.

Step4: Calculate

First, calculate $9\times8 = 72$. Then, $l=\frac{1224}{72}=17$ inches.

Answer:

17