Yuri bakes lemon bars in a pan shaped like a right rectangular prism. the volume of the pan is 150 in³.

the width of the pan is 7 1/2 in., and its height is 2 in.

what is the length of the pan?

The answer is: The length of the pan is: " 10 in. "  . 

Explanation:

Volume of a rectangular prism:  

V = L * w * h ; 

in which: 

V = volume = 150 in.³ ; 
L = length = ? ;
w = width = 7.5 in. ; 
h = height = 2 in. 

Given these values, we want to solve for "L" (the "length") ; 

Rewrite the formula/equation: 

 V = L * w * h ;

by isolating "L" (the "length"); on one side of the equation;
  by dividing BOTH sides of the equation by "(w * h)" ;


V / (w * h) = (L * w * h) / (w *h) ;

to get:

   V / (w * h) = L ; 

↔  L = V / (w * h) ;

Plug in our given values; and solve for "L" ; 

       L = 150 in.³ / (7.5 in. * 2 in.) ;
 
  →  L = 150 in.³ / (15 in.²)  ;
  
  →  L = (150 / 15) in. ; 
   
  →  L = 10 in. ;

The length of the pan is:  " 10 in. " .