Answer: The number of bars is 63.
Step-by-step explanation: Given that Brittany bakes fruit bars in a pan.
The dimensions of the pan are
[tex]\textup{length, }L=9\textup{ in.}\\\textup{width, }W=10\dfrac{1}{2}=10.5\textup{ in.}\\\textup{height, }H=2\textup{ in.}\\[/tex]
So, the volume of the pan is given by
[tex]V=L\times W\times H=9\times 10.5\times 2=189~\textup{in.}^3[/tex]
The dimension of each fruit bar are given by
[tex]\textup{length, }l=2\textup{ in.}\\\textup{width, }W=1\dfrac{1}{2}=1.5\textup{ in.}\\\textup{height, }H=1\textup{ in.}\\[/tex]
So, the volume of each fruit bar is given by
[tex]v=l\times w\times h=2\times 1.5\times 1=3~\textup{in.}^3[/tex]
Therefore, the number of fruit bars that Brittany cuts from the pan will be
[tex]N_b=\dfrac{V}{v}=\dfrac{189}{3}=63.[/tex]
Thus, the total number of fruit bars is 63.
