Question

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?

Answer 1

The answer is: The length of the pan is: " 10 in. " .
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Step-by-step 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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