Question

the volume of this rectangular prism is 4,735.50 cubic meters. what is the value of n? 21 m 27.5 m n n = meters

Explanation:

Step1: Recall volume formula

The volume formula for a rectangular prism is $V = l\times w\times h$. Here, $V = 4735.50$ cubic - meters, $l = 27.5$ m, $w=n$, and $h = 21$ m. So, $4735.50=27.5\times n\times21$.

Step2: Simplify the right - hand side

First, calculate $27.5\times21$. $27.5\times21=(27 + 0.5)\times21=27\times21+0.5\times21=567 + 10.5 = 577.5$. So the equation becomes $4735.50 = 577.5n$.

Step3: Solve for n

Divide both sides of the equation by 577.5. $n=\frac{4735.50}{577.5}$. $4735.50\div577.5 = 8.2$.

Answer:

$8.2$