Question

try it the expression $v = 2x^3 + 6x^2$ can be used to find the volume of the trapezoidal prism below. if $x = 12$ cm, what is the volume of the prism? \boxed{} $\text{cm}^3$

Explanation:

Step1: Substitute $x=12$ into formula

$V = 2(12)^3 + 6(12)^2$

Step2: Calculate each term separately

$2(12)^3 = 2\times1728 = 3456$
$6(12)^2 = 6\times144 = 864$

Step3: Sum the two results

$V = 3456 + 864$

Answer:

$4320$ cm³