Question

a rectangular prism has a volume of 348.5 cubic centimeters, a length of 10.25 centimeters, and a width of 4 centimeters. which equation can you use to find the height of the prism, h? 348.5·10.25·4 = h 348.5 = 10.25·4·h what is the height of the prism? centimeters

Explanation:

Step1: Recall volume formula

The volume formula for a rectangular prism is $V = l\times w\times h$, where $V$ is volume, $l$ is length, $w$ is width and $h$ is height. Given $V = 348.5$, $l=10.25$ and $w = 4$, we substitute these values into the formula: $348.5=10.25\times4\times h$.

Step2: Solve for $h$

First, calculate $10.25\times4 = 41$. Then the equation becomes $348.5 = 41h$. To find $h$, we divide both sides of the equation by 41: $h=\frac{348.5}{41}$.
$h = 8.5$

Answer:

The correct equation is $348.5 = 10.25\times4\times h$. The height of the prism is $8.5$ centimeters.