Unit Conversions
Conversion Factors: Tells us how two units are related. If we know the
amount of one unit, we can find the amount of another as long as we know the
conversion factor.
Imperial Units
SI Units
Example: Convert Imperial Unit
Example: Convert SI Units
Multi-Step Unit Conversions
If two units do not have a conversion factor, multiple steps are needed.
Convert the unit you are given to a unit that can then be converted to the unit
you need.
Ex:
Converting to a Combination of Whole Units
Convert to the largest unit requested. Keep the whole number of the largest
unit. Convert the remainder, or decimal, to the next smallest unit. Keep going
until you have reached the smallest unit.
Ex: Convert 1234 mm to the nearest whole m, cm, and mm.
Convert 1234 mm to meters:
The nearest whole meters: ___________
Remainder: _____________
Convert __________ meters to centimeters:
The nearest whole centimeters: __________
Remainder: ____________
Convert __________ centimeters to millimeters:
The nearest whole millimeters: __________
Therefore, 1234 mm is equivalent to _______ m, _________cm and ___________ mm.
Surface Area
Surface Area is the area of each face, or side, of a 3d object.
Sides of a Square Based Pyramid:
Area=______________
=_______________
=_______________
Area=________________
=________________
=________________
Total Surface Area:__________________________________________
Sides of a Square Based Pyramid:
Area=___________
=____________
=____________
Area=____________
=____________
=____________
Area=______________
=_____________
=_____________
Total Surface Area:__________________________________________
Lateral Area
Lateral area is the surface area minus the area of the base. In other words,
lateral area is the area of all of the sides.
Lateral Area for the Square Pyramid: ______________________________________________
Lateral Area for the Rectangular Pyramid:_________________________________________
Finding Slant Height
Pythagorean Theorem:
Cone:
Square Base
Pyramid:
Rectangular
Pyramid:
Finding Height Given Slant Height
Volume
To Find Volume: Plug the given values into the volume formulas (which will
be provided).
Ex:
Unknown Dimensions
You will be given either the surface area or volume. Find the appropriate formula and set it
equal to the given value:
Ex: The volume of a cone is 400 m3
Plug in any other known values:
The height of the cone is 10 m.
Solve for the unknown value:
Find the radius of the cone.