What is the density of glass in g/cm$^{3}$ if a sample weighing 27.43 g has a volume of 12.40 cm$^{3}$?

Suppose that your oven is calibrated in degrees Fahrenheit but a recipe calls for you to bake at 175 degree celcius. What oven setiing should you use?

Of the 90 or so naturally occurring elements, only four are liquid near room temperature: mercury (melting point =-38.87 degree celcius), bromine (melting point = -7.2 degree celcius), c e s i u m (melting point = 28.40 degree celcius), and gallium (melting point =29.78 degree celcius). Convert these melting points to degrees Fahrenheit.

The normal body temperature of a goat is 39.9 degree celcius, and that of an Australian spiny anteater is 22.2 degree celcius. Express these temperatures in degrees Fahrenheit.

Among many alternative units that might be considered as a measure of time is the shake rather than the second. Based on the expression “faster than a shake of a lamb’s tail,” we’ll define 1 shake as equal to 2.5 X 10$^{-4}$ s. If a car is traveling at 55 mi/h, what is its speed in cm/shake?

Administration of digitalis, a drug used to control atrial fibrillation in heart patients, must be carefully controlled because even a modest overdose can be fatal. To take differences between patients into account, drug dosages are prescribed in terms of mg/kg body weight. Thus, a child and an adult differ greatly in weight, but both receive the same dosage per kilogram of body weight. At a dosage of 20 mg/kg body weight, how many milligrams of digitalis should a 160 lb patient receive?

Some radioactive materials emit a type of radiation called alpha particles at high velocity.

(a) What is the kinetic energy in joules of an alpha particle with a mass of 6.6 X 10 $^{-27}$kg and a speed of 1.5 X 10 $^{7}$m/s? Express the number in scientific notation.

(b) Express the number and unit using an appropriate prefix.

The height of a horse is usually measured in hands instead of in feet, where 1 hand equals 1/3 ft (exactly).

(a) How tall in centimeters is a horse of 18.6 hands?

(b) What is the volume in cubic meters of a box measuring 6 X 2.5 X 15 hands?

The volume of water used for crop irrigation is measured in acrefeet, where 1 acre-foot is the amount of water needed to cover 1 acre of land to a depth of 1 ft.

(a) If there are 640 acres per square mile, how many cubic feet of water are in 1 acre-foot?

(b) How many acre-feet are in Lake Erie (total volume = 116 mi$^{3}$)?

Convert the following quantities into SI units with the correct number of significant figures:

(a) 5.4 in.

(b) 66.31 lb

(c ) 0.5521 gal

(d) 65 mi/h

(e) 978.3 yd$^{3}$

(f) 2.380 mi$^{2}$

The world record for the women’s outdoor 20,000-meter run, set in 2000 by Tegla Loroupe, is 1:05:26.6 (seconds are given to the nearest tenth). What was her average speed, expressed in miles per hour with the correct number of significant figures? (Assume that the race distance is accurate to 5 significant figures.)

Express the results of the following calculations with the correct number of significant figures:

(a) $\frac{3.41-0.23}{5.233} \times 0.205$

(b) $\frac{5.556 \times 2.3}{4.223-0.08}$

Express the results of the following calculations with the correct number of significant figures:

(a) 4.884 X 2.05

(b) 94.61 $\div$ 3.7

(c ) 3.7 $\div$ 94.61

(d) 5502.3 + 24 + 0.01

(e) 86.3 + 1.42 - 0.09

(f) 5.7 X 2.31

Round off the following quantities to the number of significant figures indicated in parentheses:

(a) 7.0001 kg (4)

(b) 1.605 km (3)

( c) 13.2151 g/cm$^{3}$ (3)

(d) 2,300,000.1 (7)