The motorcycle engine on a kawasaki ninja 1000 has a displacement of 1043 cubic-centimeters (cm3). in order to calculate its engine displacement in cubic-inches (in3) what unit conversion factor would you use to multiply the given displacement

Respuesta :

1 in3 / (2.54)3 cm3      this is the answer

[tex]\boxed{\boxed{ \ 0.061 \frac{inch^3}{cm^3}\ }}[/tex]

Further explanation

We will calculate the unit conversion factor used to convert its engine displacement from cubic-centimeters to cubic-inches.

The relationships between inch and cm are as follows:

[tex]\boxed{ \ 1 \ inch = 2.54 \ cm\ }[/tex]

Inches and cm represent units of length.

Made into fractions, 1 inch as the denominator and 2.54 cm as the numerator.

[tex]\boxed{ \ \frac{1 \ inch}{2.54 \ cm} \ }[/tex]

As a unit conversion factor of volume, the numerator and the denominator in cubic.

[tex]\boxed{ \ \frac{(1 \ inch)^3}{(2.54 \ cm)^3} \ }[/tex]

[tex]\boxed{ \ \frac{1 \ inch^3}{16.387 \ cm^3} \ }[/tex]

Thus, we get the unit conversion factor

[tex]\boxed{\boxed{ \ 0.061 \frac{inch^3}{cm^3}\ }}[/tex]

Let's use this unit conversion factor to calculate its engine displacement in new units.

[tex]\boxed{= 1,043 \ cm^3 \times 0.061 \ \frac{inch^3}{cm^3}}[/tex]

Note for cm³ units that have been crossed out.

The conversion result is [tex] \ \boxed{ \ 63.623 \ inch^3\ }[/tex]

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Keywords: the motorcycle engine, Kawasaki Ninja 1000, 1043 cubic-centimeters (cm³), to calculate, its engine displacement, in cubic-inches (in³), what unit conversion factor

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