Employability in
Agricultural/Horticultural
Industry
Using Mathematics Skills
Lesson 2
Determining Area and
Volume
Next Generation Science/Common Core Standards Addressed!
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CCSS.Math.Content.8 .EE.A.4 - Perform operations with numbers
expressed in scientific notation, including problems where both
decimal and scientific notation are used. Use scientific notation and
choose units of appropriate size for measurements of very large or
very small quantities (e.g., use millimeters per year for seafloor
spreading). Interpret scientific notation that has been generated by
technology.
CCSS.Math.Content.8.EE.B.5 - Graph proportional relationships,
interpreting the unit rate as the slope of the graph. Compare two
different proportional relationships represented in different ways. For
example, compare a distance-time graph to a distance-time equation
to determine which of two moving objects has greater speed.
Bell Work
What are some agricultural
occupations which might require math
skills to determine area and volume?
What are some examples of problems
common to these occupations
Have many of you have had to use
mathematical skills to complete a job?
Student Objectives
Describe the methods used to
calculate the area of various shapes
Identify the application of determining
areas and distances
Describe the methods used to
calculate the volume of various
shapes
Identify the applications of determining
volume in agriculture
Terms
Area
Circle
Equilateral
Isosceles
Triangle
Length
Parallelogram
Rectangle
Right Triangle
Square
Scalene Triangle
Trapezoid
Triangle
Volume
Width
Area
Defined as the measure of the
amount of surface
Two dimensional
Reported in Square inches,
square feet, acres, square meters,
etc.
To convert square feet to acres,
divide by 43,560
How big is an Acre?
A little larger than a football field!
Determining the Area of a Square
Determining the Area of a Rectangle
If width = 1,000 ft
length = 2,000 ft
1,000 x 2000 ft = 20,000 ft2
Determining the Area of a Triangle
Kinds of Triangles
Determining the Area of a Triangle
If base = 600 ft.
and height = 750 ft.
area = 600 x 700
2
area = 210,000 ft2
area = 4.82 acres
Determining the Area of a Trapezoid
Determining the Area of a Trapezoid
Base 1 = 2000 ft.
Base 2 = 3000 ft.
Height = 1500 ft.
2000 + 3000 x 1500
2
area = 3,750,000 ft2
area = 86 acres
Determining the area of a Parallelogram
Determining the area of a Parallelogram
Base = 400 ft
Height = 600 ft
Area = 240,000 ft2
Determining the Area of a Circle
Determining the Area of a Circle
Radius = 25 ft.
252 x 3.14 = 1962.5 ft2
Volume
3 Dimensional
in “cubic” units
Important to remember - when
converting from cubic feet to cubic
yard, divide by 27
Determining Cubic Area
Determining Cubic Area
Length = 100 ft
Width = 20 ft
Height = 20 ft
Volume = 40,000 ft3
Determining the Volume of a Cylinder
Determining the Volume of a Cylinder
If height = 10 feet
and radius is 3 feet
what is the volume
of this cylinder?
32 x 3.14 x 10 =
282.6 ft3
Determining the Area of a Cone
Determining the Area of a Cone
Radius = 10 ft
Height = 20 ft
102 x 3.14 x 20
3
Volume =
209,333 ft3
Determining the Area of a Sphere
Determining the Area of a Sphere
Diameter = 6 feet
3.14/6 x 63 =
112.968 ft3