Question

In an experiment you are performing, your lab partner has measured the distance a cart has traveled: 28.4inch. You need the distance in units of centimeter and you know the unit equality 1inch=2.54centimeter. By which conversion factor will you multiply 28.4inch in order to perform the unit conversion?

Answer 1

Hello!

To get inches into centimeters we use the relationship of 1in=2.54cm

28.4in(2.54cm/1in)= 72.1cm

Hope this helps. Any questions please feel free to ask. Thank you.

Answer 2

As per the question the distance travelled by  a car is 28.4 inch.

we are asked to determine the  conversion factor in centimeter  which when multiplied with 28.4 inch will give a unit.

we know that one inch =2.54 centimeter.

Hence 28.4 inch = 2.54  ×28.4 cm

                            =72.136 cm.

Now we have to determine the conversion factor .The multiplication factor is calculated as    $P =\frac{28.4 inch*2.54cm}{1 inch}$

                         $p= 72.136 cm$        [p is the multiplication factor.]

Hence the multiplication factor is 72.137 cm which will give unit conversion when multiplied with 28.4 inch.