Question

the volume of this rectangular prism is 205.0 cubic centimeters. what is the value of v? 10 cm 4.1 cm v = 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. Here $V = 205.0$ cubic - centimeters, $l = 10$ cm, $w = 4.1$ cm and $h=v$.

Step2: Rearrange the formula to solve for $v$

We can rewrite the formula as $v=\frac{V}{l\times w}$.

Step3: Substitute values

Substitute $V = 205.0$, $l = 10$ and $w = 4.1$ into the formula: $v=\frac{205.0}{10\times4.1}$.

Step4: Calculate

First, calculate $10\times4.1 = 41$. Then, $\frac{205.0}{41}=5$.

Answer:

5