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The most powerful engine available for the classic 1963 Chevrolet Corvette Sting Ray developed 360 horsepower and had a displacement of 327 cubic inches. Express this displacement in liters (L) by using only the conversions 1 L = 1000 cm3 and 1 in. = 2.54 cm.

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Give the displacement is [tex]327in^3[/tex]

We know that

[tex]1 in = 2.54cm[/tex]

Therefore the displacement in cubic centimeters is

[tex]d = 327in^3 (\frac{2.54cm}{1in})^3[/tex]

[tex]d = 5358.57cm^3[/tex]

We also know that

[tex]1L = 1000cm^3[/tex]

Therefore  the displacement in Liters is

[tex]d = 5358.57cm^3(\frac{1L}{1000cm^3})[/tex]

[tex]d = 5.36L[/tex]

Therefore the displacement in Liters is 5.36L

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