Question

the volume of this rectangular prism is 77.76 cubic millimeters. what is the value of r? 2.4 mm 5.4 mm r = millimeters

Explanation:

Step1: Recall volume formula

The volume formula for a rectangular prism is $V = l\times w\times h$, where $l = 5.4$ mm, $w=2.4$ mm, $h = r$ and $V = 77.76$ $mm^{3}$. So we have the equation $77.76=5.4\times2.4\times r$.

Step2: Calculate the product of known sides

First, calculate $5.4\times2.4$. $5.4\times2.4 = 12.96$. The equation becomes $77.76 = 12.96r$.

Step3: Solve for r

Divide both sides of the equation by 12.96. $r=\frac{77.76}{12.96}=6$.

Answer:

6