SOLUTION: Define the following and discuss the type of units associated with each one: a.) perimeter b.) area c.) volume

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Question 438998: Define the following and discuss the type of units associated with each one:
a.) perimeter
b.) area
c.) volume

Answer by cleomenius(959)   (Show Source): You can put this solution on YOUR website!
The perimeter of a polygon is the sum of the lengths of its sides. The units will be the units you are given, such as inches, centimeters, etc.
The area usually refers to the area of a simple closed curve. A geometry postulate describes it as for every simple closed curve, there is a positive
real number that gives the number of unit squares ( and parts of unit squares) that exactly tessellate the region enclosed by the simple closed curve.
The area of a region enclosed by a simple closed curve is the sum of the areas of the smaller regions into which the region can be subdivided.
The surface are will be expressed in the form of units squared such as inches or centimeters squared, and the formula depends on the figure you are working with.
The volume postulate is similar to the area postulate; for every polyhedron and unit curve, there is a real number that gives the number of unit cubes
( and parts of unit cubes) that exactly fit the region enclosed by the polyhedron.
The volume of the region enclosed by a polyhedron is the sum of the volumes of the smaller regions into which the region can be subdivided.
The volume will be expressed in the form of units cubed, such as inches cubed or cm cubed. The formula depends on the figure you are working with.
Cleomnius.

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