The answer is: The length of the pan is: " 10 in. " .
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Explanation:
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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.
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Given these values, we want to solve for "L" (the "length") ;
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Rewrite the formula/equation:
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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)" ;
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V / (w h) = (L w h) / (w h) ;
to get:
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V / (w h) = L ;
↔ L = V / (w h) ;
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Plug in our given values; and solve for "L" ;
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L = 150 in.³ / (7.5 in. 2 in.) ;
→ L = 150 in.³ / (15 in.²) ;
→ L = (150 / 15) in. ;
→ L = 10 in. ;
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The length of the pan is: " 10 in. " .
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