Question

convert 69 g/cm to kilograms per meter (kg/m).
a 690 kg/m
b 0.69 kg/m
c 69 kg/m
d 6.9 kg/m

Explanation:

Step1: Convert grams to kilograms

We know that 1 kg = 1000 g, so 1 g=$\frac{1}{1000}$ kg. Then 69 g = 69×$\frac{1}{1000}$ kg = 0.069 kg.

Step2: Convert centimeters to meters

We know that 1 m = 100 cm, so 1 cm=$\frac{1}{100}$ m.

Step3: Calculate the conversion

The original unit is 69 g/cm. Substituting the conversion - factors, we get $\frac{69\times\frac{1}{1000}\text{ kg}}{\frac{1}{100}\text{ m}}$.
Using the rule of dividing by a fraction ($\frac{a}{b}\div\frac{c}{d}=\frac{a}{b}\times\frac{d}{c}$), we have $\frac{69\times\frac{1}{1000}\text{ kg}}{\frac{1}{100}\text{ m}}=69\times\frac{1}{1000}\times100\frac{\text{kg}}{\text{m}}$.
$69\times\frac{1}{1000}\times100=\frac{69\times100}{1000}=690\times\frac{1}{10}= 690$ kg/m.

Answer:

A. 690 kg/m