Question

Suppose that, from measurements in a microscope, you determine that a certain bacterium covers an area of 1.50 μm2. Convert this to square meters.

Answer 1

A certain bacterium covers an area of

1.50 μm² =  1.50 × 10⁻¹² m²

Further explanation

Some units of length and its conversion that need to be recalled are:

$1 ~ foot = 30.48 ~ cm$

$1 ~ inch = 2.54 ~ cm$

$1 ~ foot = 12 ~ inches$

$1 ~ mile = 1609.34 ~ metres$

$1 ~ yard = 0,9144 ~ metres$

$1 ~\mu m = 1 \times 10^{-6} ~ m$

Let us now tackle the problem !

Given:

Bacterium covers an area of 1.50 μm²

$1 ~\mu m = 1 \times 10^{-6} ~ m$

$1 ~\mu m^2 = (1 \times 10^{-6})^2 ~ m^2 = 1 \times 10^{-12} ~ m^2$

$\large {\boxed {1.50 ~\mu m^2 = 1.50 \times 10^{-12} ~ m^2} }$

Conclusion :

A certain bacterium covers an area of

1.50 μm² =  1.50 × 10⁻¹² m²

Learn more

• Velocity of Runner : https://brainly.com/question/3813437
• Kinetic Energy : https://brainly.com/question/692781
• Acceleration : https://brainly.com/question/2283922
• The Speed of Car : https://brainly.com/question/568302

Answer details

Grade: High School

Subject: Mathematics

Chapter: Unit of Length

Keywords: Velocity , Driver , Car , Deceleration , Acceleration , Obstacle , Speed , Time , Rate , Length , Microscope , Bacterium , Measurements , Area , Square , Metres , Meters

Answer 2

The area covered by the bacterium in square meters is $\boxed{1.50 \times {{10}^{ - 12}}{\text{ }}{{\text{m}}^{\text{2}}}}.$

Further explanation:

Given:

A certain bacterium covers an area of $1.50\mu {m^2}.$

Explanation:

The area covered by the bacteria is $1.50\mu {m^2}.$

Area is the square of the length. The unit of area is square units.

$\mu$ represents the micrometer.

In one micrometer there are ${10^{ - 6}}meter.$

$1\mu m = 1 \times {10^{ - 6}}{\text{ m}}$

In one micrometer square there are ${10^{ - 12}}meter.$

$1\mu {m^2} = 1 \times {10^{ - 12}}{\text{ }}{{\text{m}}^2}.$

$1.50\mu {m^2}$ in ${m^2}$ can be expressed as follows,

$\begin{aligned}1.50\mu {m^2} &= 1.50 \times {\left( {1 \times {{10}^{ - 6}}} \right)^2}\\&= 1.50 \times {10^{ - 12}}{\text{ }}{{\text{m}}^2}\\\end{aligned}$

The area covered by the bacterium in square meters is $\boxed{1.50 \times {{10}^{ - 12}}{\text{ }}{{\text{m}}^{\text{2}}}}.$

Learn more:

1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function https://brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Unit Conversion

Keywords: measurement, microscope, bacteria, area, square meters, microscopic, bacterium covers area, 1.50, convert, unit conversions, micrometer, meters, m^2, length, area covered.