Question

Paul bakes raisin bars in a pan shaped like a rectangular prism.
The volume of the pan is 252 in³.

The length of the pan is 12 in., and its width is 10 1/2 in.

What is the height of the pan?


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Answer 1

The height of the pan is 2 inches

Answer 2

The answer is:  " 2 in. ".
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Explanation:
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Assume the shape is a "rectangular prism".

Volume of a "rectangular prism" :  V = L * w * h ; 
 
 in which:  
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        V = volume; 
        L = length; 
        w = width; 
        h = height.
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We want to solve for "h" (the "height").
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Given: 
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V = 252 in.³ ; 
L = 12 in. ; 
w = 10.5 in.

Solve for "h" ;
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Plug our "given values" into the formula:
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V = L * w * h ; 
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We want to rewrite this formula/ equation; by isolating "h" (the "height") on on ONE side of the equation; 
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   Divide EACH SIDE of the formula/equation by "(L * w)" ; 
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         →  V / (L * w) = (L* w * h) / (L * w) ; 
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to get:  
        →  V / (L * w) =  h ;  

        ↔ h =  V / (L * w) ; 
 
        → h = 252 in.³ / (12 in. * 10.5 in.) ;
 
        → h = 252 in.³ / (126 in.²) ;
 
        → h = (252 / 126) in. ; 
 
        → h = 2 in.
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  The answer is:  2 in. 
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