Question

If 1 centimeter = 0.394 inch, use dimensional analysis to find 3 meters in inch.

a. 118.2 in
b. 11.82 in.
c. 1182 in.
d. 1.182 in.​

Answer 1

b) 118.2 in

Explanation:

Answer 2

`\boxed{\text{a. 118.2 in}}`

Explanation:

You know that

1 cm = 0.394 in

If you divide both sides by 1 cm, you get the conversion factor:

1 = 0.394 cm/1 in.

If you divide both sides by 0.394 in, you get the conversion factor:

1 cm/0.394 in = 1.

Both are conversion factors because they both equal one and multiplying a measurement by one does not change its value.

You choose the conversion factor that gives you the correct dimensions for your answer. It must have the correct dimensions on top (in the numerator),

Thus, to convert 1 cm to inches, you use the conversion factor with “in” on the top.

1. Convert metres to centimetres

`\text{Distance} = \text{3 m} * \frac{\text{100 cm}}{\text{1 m}} = \text{300 cm}`

2. Convert centimetres to inches

`\text{Distance} = \text{300 cm} * \frac{\text{0.394 in}}{\text{1 cm}} = \textbf{118.2 in}\\\\\text{300 cm = }\boxed{\textbf{118.2 in}}`