METRIC REVIEW: Honors Level Questions
If you have your textbook it may help. Some of these come from the text book!
Q#
1
2
Givens & Equations
The average radius of a
molecule of lysozyme, an
enzyme in tears, is 1430
pm. What is the radius in
nanometers (nm).
The distance between
two adjacent peaks on a
wave is called the
wavelength.
Work, Definition, Explanation
(a) The wavelength of a beam of ultraviolet light
is 247 nanometer (nm). What is its
wavelength in meters?
(b) The wavelength of a beam of red light is 6760
pm. What is its wavelength in angstroms (A)?
A helpful hint on squared unit conversions. To
find a squared unit conversion factor, take the
conversion factor from the regular units and
square both sides.
ex
3
Example:
A small hole in the
wing of a space
shuttle requires a
20.7 cm2 patch.
(a) What is the patch’s area in square kilometers (km2)?
A small hole in the
heart requires a
1.31 cm2 patch.
(a) What is the patch’s area in square mm?
(b) If the patching material costs NASA $3.25/in2, what
is the cost of the patch?
(b) If the patch material costs the hospital $195.00/in2,
what is the cost of the patch?
4
The average density of the
Earth is 5.52 g/cm3. What is
its density in..
(a) kg/m3
(b)
lb/ft3
Answer
5
The volume of a
certain bacterial cell
is 2.56 m3.
Ex:
What is its volume in cubic picometers?
(a) What is its volume in cubic millimeters (mm3)?
6
ex
7
Carry out the
following
calculations, making
sure that your
answer has the
correct number of
significant figures:
Earth’s oceans have
an average depth of
3800 m, a total area
of 3.63X108 km2, and
an average
concentration of
dissolved gold of
5.8x10-9 g/L
A person’s skin
has an average
thickness of
2.55mm and a
surface area of
1.75m2.
In every square
inch there are
651 sweat glands
and 19 blood
vessels.
There is an
artificial skin
graft called
productsin which
costs $1000. for
40.in2.
a) 2.795 m x 3.10 m
6.48 m
(b) V = (4/3)r3, where r = 17.282 mm
(c) 1.110 cm + 17.3 cm + 108.2 cm + 316 cm
(a) How many grams of gold are in the oceans?
(b) How many m3 of gold are in the oceans?
(c) Assuming the price of gold is $370.00/troy oz,
what is the value of gold in the oceans (1 troy oz =
31.1 g; d of gold = 19.3 g/cm3)?
(a) what is the volume of skin in mm3?
(c) How many sweat glands per cm2 will you find?
(d) How many blood vessels/mm2 will you find?
(d)If this person has burns over 20% of their body, what
is the surface area of skin that has burned in cm2?
(e) What will be the cost of the productsin that this
person will need?