Q: Which of the following is the correct conversion factor to convert cubic centimeters to cubic meters?

$1\ \mathrm{cm^3} = 1 \times 10^{-6}\ \mathrm{m^3}$

Q: Which calculation correctly converts $150\ \mathrm{cm^3}$ to $\mathrm{m^3}$?

$150 \times 10^{-6}\ \mathrm{m^3}$

Q: Which of the following is the correct process to convert $x\ \mathrm{cm^3}$ to $\mathrm{m^3}$?

Multiply $x$ by $1 \times 10^{-6}$

Q: Which of the following is NOT a correct conversion for volume units?

$1\ \mathrm{cm^3} = 1 \times 10^{-3}\ \mathrm{m^3}$

Question 1

A laboratory sample has a volume of 2050 $\mathrm{cm^3}$. What is this volume in $\mathrm{m^3}$? Use the correct conversion factor.

Accepted Answer

$0.00205\ \mathrm{m^3}$

Question 2

Which of the following is the correct conversion factor to convert cubic centimeters to cubic meters?

Accepted Answer

$1\ \mathrm{cm^3} = 1 	imes 10^{-6}\ \mathrm{m^3}$

Question 3

A student mistakenly uses the conversion factor for square centimeters to square meters when converting $2050\ \mathrm{cm^3}$ to $\mathrm{m^3}$. What answer would they likely obtain?

Accepted Answer

$0.2050\ \mathrm{m^3}$

Question 4

If a container has a volume of $5000\ \mathrm{cm^3}$, what is its volume in $\mathrm{m^3}$?

Accepted Answer

$0.005\ \mathrm{m^3}$

Question 5

Which of the following best explains why the conversion factor between $\mathrm{cm^2}$ and $\mathrm{m^2}$ cannot be used to convert $\mathrm{cm^3}$ to $\mathrm{m^3}$?

Accepted Answer

Because $\mathrm{cm^2}$ and $\mathrm{m^2}$ are units of area, not volume.

Question 6

A medical syringe is labeled as holding $10\ \mathrm{cm^3}$ of fluid. How many liters is this?

Accepted Answer

$0.01\ \mathrm{L}$

Question 7

A cube has sides of length $10\ \mathrm{cm}$. What is its volume in $\mathrm{m^3}$?

Accepted Answer

$0.001\ \mathrm{m^3}$

Question 8

Which calculation correctly converts $150\ \mathrm{cm^3}$ to $\mathrm{m^3}$?

Accepted Answer

$150 	imes 10^{-6}\ \mathrm{m^3}$

Question 9

A fish tank has a volume of $0.025\ \mathrm{m^3}$. What is this volume in $\mathrm{cm^3}$?

Accepted Answer

$25,000\ \mathrm{cm^3}$

Question 10

A student needs to convert $3.5\ \mathrm{L}$ to $\mathrm{m^3}$. What is the correct answer?

Accepted Answer

$0.0035\ \mathrm{m^3}$

Question 11

Which of the following is the correct relationship between $\mathrm{cm^3}$ and $\mathrm{L}$?

Accepted Answer

$1\ \mathrm{cm^3} = 0.001\ \mathrm{L}$

Question 12

A chemistry student is asked to convert $0.75\ \mathrm{m^3}$ to $\mathrm{cm^3}$. What is the correct answer?

Accepted Answer

$750,000\ \mathrm{cm^3}$

Question 13

A student is converting $100\ \mathrm{cm^3}$ to $\mathrm{m^3}$ and writes $100 	imes 10^{-2}\ \mathrm{m^3}$. What mistake did the student make?

Accepted Answer

They used the conversion factor for square centimeters instead of cubic centimeters.

Question 14

A rectangular box has dimensions $20\ \mathrm{cm} 	imes 15\ \mathrm{cm} 	imes 10\ \mathrm{cm}$. What is its volume in $\mathrm{m^3}$?

Accepted Answer

$0.003\ \mathrm{m^3}$

Question 15

Which of the following is the correct process to convert $x\ \mathrm{cm^3}$ to $\mathrm{m^3}$?

Accepted Answer

Multiply $x$ by $1 	imes 10^{-6}$

Question 16

A student is asked to convert $2500\ \mathrm{cm^3}$ to $\mathrm{m^3}$. What is the correct answer?

Accepted Answer

$0.0025\ \mathrm{m^3}$

Question 17

A chemistry experiment requires $0.004\ \mathrm{m^3}$ of a solution. How many $\mathrm{cm^3}$ is this?

Accepted Answer

$4000\ \mathrm{cm^3}$

Question 18

Which of the following is NOT a correct conversion for volume units?

Accepted Answer

$1\ \mathrm{cm^3} = 1 	imes 10^{-3}\ \mathrm{m^3}$

Unit Conversion: Volume (Cubic Centimeters to Cubic Meters)

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