Answer : The volume of engine in cubic inches is, [tex]427.166\text{ inch}^3[/tex]
Explanation :
As we are given that the volume of engine is, 7.0 liters. Now we have to calculate the volume of engine in cubic inches.
Conversion used :
[tex]1\text{ liter}=1000cm^3[/tex]
So, [tex]7\text{ liter}=7000cm^3[/tex]
[tex]1\text{ inch}=2.54cm[/tex]
or,
[tex]1cm=\frac{1}{2.54}\text{ inch}[/tex]
[tex]1cm^3=(\frac{1}{2.54}\text{ inch})^3[/tex]
As,
[tex]1cm^3=(\frac{1}{2.54}\text{ inch})^3[/tex]
So,
[tex]7000cm^3=\frac{7000cm^3}{1cm^3}\times (\frac{1}{2.54}\text{ inch})^3=427.166\text{ inch}^3[/tex]
Thu, the volume of engine in cubic inches is, [tex]427.166\text{ inch}^3[/tex]