Question

Myriah wants to use dimensional analysis to find out how many centimeters (cm) are in 1. 4 meters (m). Which of these equalities will be useful for this calculation? 2. 54 cm = 1 in. 1 m = 39. 37 in. 1 cm = 10 mm 100 cm = 1 m.

Answer 1

Since you need conversion from meters to centimetres, thus, you need some data about how does a meter relates to centimetre.

Thus, Option D: 100cm = 1m is the equality which will be useful for given calculation.

How to find the magnitude in converted units?

If a quantity is expressed in one unit and has to be converted to other unit, then you need to have some data by which you can relate those two units together so as to know how much of first scale is equal to that of a unit of second scale or vice versa.

Since the given quantity asks to know how many centimetres are there in a meter, thus from given option, the fourth option is most appropriate and useful.

Thus,

Option D:  100cm = 1m is the equality which will be useful for given calculation.

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