Question

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

Answer 1

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

Answer 2

$\boxed{\boxed{ \ 0.061 \frac{inch^3}{cm^3}\ }}$

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:

$\boxed{ \ 1 \ inch = 2.54 \ cm\ }$

Inches and cm represent units of length.

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

$\boxed{ \ \frac{1 \ inch}{2.54 \ cm} \ }$

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

$\boxed{ \ \frac{(1 \ inch)^3}{(2.54 \ cm)^3} \ }$

$\boxed{ \ \frac{1 \ inch^3}{16.387 \ cm^3} \ }$

Thus, we get the unit conversion factor

$\boxed{\boxed{ \ 0.061 \frac{inch^3}{cm^3}\ }}$

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

$\boxed{= 1,043 \ cm^3 \times 0.061 \ \frac{inch^3}{cm^3}}$

Note for cm³ units that have been crossed out.

The conversion result is $\ \boxed{ \ 63.623 \ inch^3\ }$

Learn more

1. Convert cubic-kilometers to cubic-meters brainly.com/question/1446243
2. How to write in scientific notation brainly.com/question/7263463
3. Calculating mass based on density and volume brainly.com/question/4053884

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