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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