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Convert 0.0904 in^3 to liters.

Question:

Convert {eq}\rm 0.0904\ in^3 {/eq} to liters.

Unit Conversion

Unit conversion is frequently used to convert the units of a physical quantity. The effective multiplication is done by the unit that is why it is also called the unit factor method.

Answer and Explanation:

We have,

{eq}1\, inch = 2.54\, cm \\ \Rightarrow ( 1\, inch )^3= (2.54\, cm)^3 \\ \Rightarrow ( 1\, inch )^3=16.39 cm^3 \\ \Rightarrow 0.0904 \, inch ^3 = 0.0904 \, inch ^3 \times \frac{16.39 cm^3}{ ( 1\, inch )^3} \\ \Rightarrow 0.0904 \, inch ^3 = 1.48\,cm^3 {/eq}

Now,

{eq}\\ \Rightarrow 1.48\,cm^3 = 1.48\,mL \\ \Rightarrow 1.48\,cm^3 = 1.48\,mL \times \frac{1L}{1000 mL} \\ \Rightarrow 1.48\,cm^3 = 0.00148 L {/eq}


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Common Unit Conversions

from Business 110: Business Math

Chapter 1 / Lesson 10
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