Question

Suppose that, from measurements in a microscope, you determine that a certain layer of graphene covers an area of 1.60μm2. Convert this to square meters.

Answer 1

To convert the area of 1.60 micrometers squared to square meters, multiply by (10^-6)^2 to get 1.60 x 10^-12 square meters, rounded to three significant figures.

Step-by-step explanation:

To convert an area measured in micrometers squared (μm^2) to square meters (m^2), we need to use conversion factors. Since 1 μm is 10^-6 meters, when converting μm^2 to m^2, we need to square the conversion factor. Hence, 1 μm2 equals (10^-6 m)2 or 10^-12 m2.

For an area of 1.60 μm^2:

1.60 μm^2 = 1.60 x (10-6 m)^2
= 1.60 x 10-12 m^2
= 1.60 x 10-12 m^2

The final answer is 1.60 x 10^-12 square meters, with three significant figures, as the original measurement of 1.60 μm^2 has three significant figures.

Answer 2

1.60×10^-12 m^2

Step-by-step explanation:

The prefix μ stands for "micro-", which means 10^-6. So, 1 micro-meter is ...

1 μm = 10^-6 m

A square micrometer is then ...

(1 μm)^2 = (10^-6 m)^2 = 10^-12 m^2

1.6 of them is ...

1.6 μm^2 = 1.6×10^-12 m^2