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?

A. 1 in3 / 16.4 cm3
B. 2.54 cm3 / 1 in3
C. 1 in3 / 2.54 cm3
D. 6.45 cm3 / 1 in3

Answer 1

A. 1 in³ / 16.4 cm³

Step-by-step explanation:

Inches is an imperial unit while centimeter is a metric unit.

1 inch = 2.54 cm

⇒1 inch³ = 2.54³

⇒1 inch³ = 2.54×2.54×2.54

⇒1 inch³ = 16.38 cm³ = 16.38 cc

So,

`1\ cc=(1)/(16.38)\ inch^(3)`

`1043\ cc=1043 (1\ inch^3)/(16.38\ cm^3)\\\Rightarrow 1043\ cc= 63.67\ inch^3`

So, 1 in³ / 16.4 cm³ conversion factor should be used.