Q: A laboratory sample has a volume of $$2950 \ \mathrm{cm}^3. $$What is this volume in cubic meters?

$$2.95 \times 10$$^{-3}$$ \ \mathrm{m}^3$$

Q: Which equation would you use to convert $$506 \ \mathrm{ft}^2 to$$ $$\mathrm{m}^2$$?

$$506 \ \mathrm{ft}^2 \times \frac{1 \ \mathrm{m}^2}{10.76 \ \mathrm{ft}^2}$$

Q: Which of the following is the correct process to convert $$8.00 \ \mathrm{in}^2 to$$ $$\mathrm{cm}^2$$?

$$8.00 \ \mathrm{in}^2 \times (2.54 \ \mathrm{cm}/1 \ \mathrm{in})^2$

Q: A cube has a side length of $$5.00 \ \mathrm{cm}. $$What is its volume in cubic meters?

$$1.25 \times 10$$^{-5}$$ \ \mathrm{m}^3$$

Question 1

Which of the following correctly expresses the conversion factor for changing square feet to square meters?

Accepted Answer

$$1 \ \mathrm{m}^2 = 10.76 \ \mathrm{ft}^2$$

Question 2

If you have an area of $$6.20 \ \mathrm{in}^2$$, how many square centimeters is this? (Use $$1 \ \mathrm{in} = 2.54 \ \mathrm{cm})$$

Accepted Answer

$$40.0 \ \mathrm{cm}^2$$

Question 3

A laboratory sample has a volume of $$2950 \ \mathrm{cm}^3. $$What is this volume in cubic meters?

Accepted Answer

$$2.95 	imes 10$$^{-3}$$ \ \mathrm{m}^3$$

Question 4

Which of the following best describes why unit conversions involving area and volume require squaring or cubing the conversion factor?

Accepted Answer

Because area and volume are measured in squared and cubed units, respectively, so the linear conversion factor must be squared or cubed.

Question 5

A rectangular room measures $$12.0 \ \mathrm{ft} by$$ $$15.0 \ \mathrm{ft}. $$What is the area in square meters? ($$1 \ \mathrm{m}^2 = 10.76 \ \mathrm{ft}^2)$$

Accepted Answer

$$16.7 \ \mathrm{m}^2$$

Question 6

Which equation would you use to convert $$506 \ \mathrm{ft}^2 to$$ $$\mathrm{m}^2$$?

Accepted Answer

$$506 \ \mathrm{ft}^2 	imes \frac{1 \ \mathrm{m}^2}{10.76 \ \mathrm{ft}^2}$$

Question 7

A fish tank has a volume of $$0.075 \ \mathrm{m}^3. $$What is this volume in cubic centimeters?

Accepted Answer

$$75,000 \ \mathrm{cm}^3$$

Question 8

Which of the following is the correct process to convert $$8.00 \ \mathrm{in}^2 to$$ $$\mathrm{cm}^2$$?

Accepted Answer

$$8.00 \ \mathrm{in}^2 	imes (2.54 \ \mathrm{cm}/1 \ \mathrm{in})^2$

Question 9

A hospital room must have a minimum area of $$25.0 \ \mathrm{m}^2. $$What is this area in square feet? ($$1 \ \mathrm{m}^2 = 10.76 \ \mathrm{ft}^2)$$

Accepted Answer

$$269 \ \mathrm{ft}^2$$

Question 10

A cube has a side length of $$5.00 \ \mathrm{cm}. $$What is its volume in cubic meters?

Accepted Answer

$$1.25 	imes 10$$^{-5}$$ \ \mathrm{m}^3$$

Question 11

Which of the following best explains why the conversion factor for $$\mathrm{cm}^3 to$$ $$\mathrm{m}^3 is$$ $$1 \ \mathrm{m}^3 = 1 	imes 10^6$ \ \mathrm{cm}^3$$?

Accepted Answer

Because $$1 \ \mathrm{m} = 100 \ \mathrm{cm}$$, so $$(100)^3 = 1$$,000,000$$

Question 12

A scientist needs to convert $$0.500 \ \mathrm{m}^2 to$$ $$\mathrm{ft}^2. $$What is the correct answer?

Accepted Answer

$$10.8 \ \mathrm{ft}^2$$

Unit Conversion Practice for Introduction to Chemistry

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