Question

lucy bought a fish tank shaped like a rectangular prism for her new betta fish. the tank holds 2,244 cubic inches of water. it is 12 inches long and 11 inches wide. which equation can you use to find the height of the tank, h? 12·11·h = 2,244 h = 12·11·2,244 what is the height of the tank? inches

Explanation:

Step1: Recall volume formula

The volume $V$ of a rectangular - prism is $V = l\times w\times h$, where $l$ is length, $w$ is width and $h$ is height. Given $l = 12$ inches, $w = 11$ inches and $V=2244$ cubic inches. Substituting these values into the formula gives $12\times11\times h = 2244$.

Step2: Solve for $h$

We have the equation $12\times11\times h = 2244$. First, calculate $12\times11 = 132$. So the equation becomes $132h = 2244$. Then, divide both sides of the equation by 132: $h=\frac{2244}{132}$.

Step3: Calculate the value of $h$

$\frac{2244}{132}=17$.

Answer:

The equation is $12\times11\times h = 2244$. The height of the tank is 17 inches.