Q: The Golden Gate Bridge is 8980 feet long. Convert this length to meters. (1 m = 3.281 ft)

$$8980 \times \frac{1}{3.281} = 2737\ \text{m}$$

Q: If $$1\ \text{yard} = 3\ \text{ft}$$, how many cubic feet are in $$2.5\ \text{yd}^3$$?

$$2.5 \times (3)^3$ = 67.5\ \text{ft}^3$$

Q: A 7.0 L engine has what volume in cubic inches? ($$1000\ \text{cm}^3 = 1\ \text{L}$$, $$1\ \text{in} = 2.54\ \text{cm})$$

$$7.0 \times 1000 \div (2.54^3$) = 427.2\ \text{in}^3$$

Q: Osmium has a density of $$22.6\ \text{g/mL}. $$What volume (in mL) would be occupied by a $$21.8\ \text{g}$$ sample?

$$\frac{21.8}{22.6} = 0.965\ \text{mL}$$

Q: Convert $$1.0\ \text{mg/cm}^2 to$$ $$\text{kg/m}^2.$$

$$1.0 \times 10$$^{-3}$$\ \text{g/cm}^2 \times 10\,000\ \text{cm}^2/\text{m}^2 \times 1\,000\ \text{g/kg} = 10\ \text{kg/m}^2$$

Q: If an object weighs $$28.245\ \text{lbs}$$, what is its mass in grams? ($$2.20\ \text{lbs} = 1\ \text{kg})$$

$$28.245 \div 2.20 \times 1000 = 12,838.6\ \text{g}$$

Q: A baseball is thrown at $$96.4\ \text{mi/hr}. $$What is the speed in $$\text{m/s}$$? ($$1\ \text{mi} = 1609\ \text{m}$$, $$1\ \text{hr} = 3600\ \text{s})$$

$$96.4 \times \frac{1609}{3600} = 43.1\ \text{m/s}$$

Q: A patient's cholesterol level is $$198\ \text{mg/dL}. $$What is this in $$\text{g/L}$$?

$$198 \times \frac{1}{1000} \times 10 = 1.98\ \text{g/L}$$

Q: A doctor prescribes $$0.200\ \text{mg} of $$Synthroid. If each tablet contains $$25\ \mu\text{g}$$, how many tablets are needed?

$$0.200\ \text{mg} = 200\ \mu\text{g};\ 200 \div 25 = 8\ \text{tablets}$$

Q: A person has $$14\%$$ body fat and weighs $$174\ \text{lb}. $$What is the mass of body fat in kilograms? ($$2.20\ \text{lb} = 1\ \text{kg})$$

$$174 \times 0.14 \div 2.20 = 11.1\ \text{kg}$$

Question 1

The Golden Gate Bridge is 8980 feet long. Convert this length to meters. (1 m = 3.281 ft)

Accepted Answer

$$8980 	imes \frac{1}{3.281} = 2737\ 	ext{m}$$

Question 2

If $$1\ 	ext{yard} = 3\ 	ext{ft}$$, how many cubic feet are in $$2.5\ 	ext{yd}^3$$?

Accepted Answer

$$2.5 	imes (3)^3$ = 67.5\ 	ext{ft}^3$$

Question 3

A 7.0 L engine has what volume in cubic inches? ($$1000\ 	ext{cm}^3 = 1\ 	ext{L}$$, $$1\ 	ext{in} = 2.54\ 	ext{cm})$$

Accepted Answer

$$7.0 	imes 1000 \div (2.54^3$) = 427.2\ 	ext{in}^3$$

Question 4

Osmium has a density of $$22.6\ 	ext{g/mL}. $$What volume (in mL) would be occupied by a $$21.8\ 	ext{g}$$ sample?

Accepted Answer

$$\frac{21.8}{22.6} = 0.965\ 	ext{mL}$$

Question 5

Convert $$1.0\ 	ext{mg/cm}^2 to$$ $$	ext{kg/m}^2.$$

Accepted Answer

$$1.0 	imes 10$$^{-3}$$\ 	ext{g/cm}^2 	imes 10\,000\ 	ext{cm}^2/	ext{m}^2 	imes 1\,000\ 	ext{g/kg} = 10\ 	ext{kg/m}^2$$

Question 6

A cube of unknown metal measures $$1.250\ 	ext{in} on $$each side and has a mass of $$0.395\ 	ext{kg}. $$Which metal is it? ($$1\ 	ext{in} = 2.54\ 	ext{cm})$$

Accepted Answer

Rhodium

Question 7

If an object weighs $$28.245\ 	ext{lbs}$$, what is its mass in grams? ($$2.20\ 	ext{lbs} = 1\ 	ext{kg})$$

Accepted Answer

$$28.245 \div 2.20 	imes 1000 = 12,838.6\ 	ext{g}$$

Question 8

A baseball is thrown at $$96.4\ 	ext{mi/hr}. $$What is the speed in $$	ext{m/s}$$? ($$1\ 	ext{mi} = 1609\ 	ext{m}$$, $$1\ 	ext{hr} = 3600\ 	ext{s})$$

Accepted Answer

$$96.4 	imes \frac{1609}{3600} = 43.1\ 	ext{m/s}$$

Question 9

A patient's cholesterol level is $$198\ 	ext{mg/dL}. $$What is this in $$	ext{g/L}$$?

Accepted Answer

$$198 	imes \frac{1}{1000} 	imes 10 = 1.98\ 	ext{g/L}$$

Question 10

A doctor prescribes $$0.200\ 	ext{mg} of $$Synthroid. If each tablet contains $$25\ \mu	ext{g}$$, how many tablets are needed?

Accepted Answer

$$0.200\ 	ext{mg} = 200\ \mu	ext{g};\ 200 \div 25 = 8\ 	ext{tablets}$$

Question 11

A person has $$14\%$$ body fat and weighs $$174\ 	ext{lb}. $$What is the mass of body fat in kilograms? ($$2.20\ 	ext{lb} = 1\ 	ext{kg})$$

Accepted Answer

$$174 	imes 0.14 \div 2.20 = 11.1\ 	ext{kg}$$

Question 12

The density of octane is $$0.703\ 	ext{g/mL}. $$What is the mass in kg of $$995\ 	ext{mL} of $$octane?

Accepted Answer

$$0.703 	imes 995 \div 1000 = 0.700\ 	ext{kg}$$

Question 13

A square piece of aluminum foil has a mass of $$2.400\ 	ext{g}$$ and sides of $$15.25\ 	ext{cm}. If $$the density of aluminum is $$2.70\ 	ext{g/cm}^3$$, what is the thickness of the foil in cm?

Accepted Answer

$$	ext{Volume} = \frac{2.400}{2.70} = 0.889\ 	ext{cm}^3;\ h = \frac{0.889}{15.25^2$} = 0.0038\ 	ext{cm}$$

Question 14

Which of the following is the correct SI base unit for mass?

Accepted Answer

kilogram (kg)

Question 15

Which prefix represents $$10^{-6} in $$the SI system?

Accepted Answer

micro-

Question 16

Which of the following is the correct scientific notation for 0.00056?

Accepted Answer

$$5.6 	imes 10$$^{-4}$$

SI Units, Conversions, Density, and Measurement Practice – General Chemistry Study Guide

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