Question

Help me please,Thanks

Answer 1

Answer:  The width is:  " 10 in. " .
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Explanation:
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Consider a "rectangular prism".
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The formula for the Volume of a rectangular prism:
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    V = L * w * h ; 
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                 in which:
 
                     V = volume = 120 in.³ ;
                     L  = length  =  8 in.
                     w = width   =  ??
                     h = height  =  1.5 in.
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We want to solve for "w" (width) ;
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Given the formula:
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   V = L * w * h ; 
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Rewrite the formula; by dividing EACH SIDE of the equation by
   "(L * h)" ; to isolate "w" on one side of the equation;
                 and to solve for "w" ;
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  →  V / (L * h) = ( L * w * h) / (L * h) ; 

to get:
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     →  V / (L * h) =  w ; 

       ↔ w = V / (L * h) ;
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Plug in our given values for "V", "L"; and "h"; to solve for "w" ; 
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       → w = (120 in.³) / (8 in. * 1.5 in.) ;
    
       → w = (120 in.³) / (12 in.²) ;
 
       → w = (120/12) in. = 10 in.
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