Examlex
A wooden beam has a rectangular cross section of height in.and width
in.(see the figure) .The strength
of the beam is directly proportional to its width and the square of its height. What are the dimensions of the cross section of the strongest beam that can be cut from a round log of diameter 24 in.? Hint:
, where
is a constant of proportionality.
Density
A measure of mass per unit volume of a substance, commonly expressed in grams per cubic centimeter for solids and liquids, and kilograms per cubic meter for gases.
Volume
The amount of space occupied by an object or substance, often measured in liters, cubic meters, or gallons.
Material
Any substance or matter from which something can be made or constructed.
Density
The mass per unit volume of a substance, often measured in grams per cubic centimeter (g/cm^3) or kilograms per cubic meter (kg/m^3).
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