Question

the volume of this rectangular prism is 268.83 cubic millimeters. what is the value of s? s = millimeters

Explanation:

Step1: Recall volume formula

The volume formula for a rectangular prism is $V = l\times w\times h$. Here, assume the length is $9$ mm, the width is $s$ mm and the height is $2.9$ mm, and $V = 268.83$ $mm^{3}$. So the equation is $268.83=9\times s\times2.9$.

Step2: Simplify the right - hand side

First, calculate $9\times2.9 = 26.1$. The equation becomes $268.83 = 26.1\times s$.

Step3: Solve for $s$

Divide both sides of the equation by $26.1$. So $s=\frac{268.83}{26.1}$.

Step4: Calculate the value of $s$

$268.83\div26.1 = 10.3$.

Answer:

$10.3$