(Begin with RE Math – Sect 2 – Beginning slide)
Basic Math Calculations – Square Footage
Square Footage – A square foot is 1 foot by 1 foot. To calculate the square footage of property, you multiply
the width by the length.
Example:
A square house is 50 feet by 60 feet. What is the square footage of this house?
To calculate the square footage, you multiply 50 X 60 = 3,000 square feet.
Calculation: Put 50 in the calculator, hit the Multiplication (X) key, put in 60, and hit the Equal (=) key.
The answer is 3,000.
Note – In Real Estate you will always be dealing with the amount of square feet of property.
Example: A house has 3,000 square feet of available space inside. This would be a larger house than one with
2,500 square feet. Pretty much all descriptions of houses will show the size (square feet) inside.
Problem Solving: A building lot is 100 feet by 60 feet. What is the square footage of the lot?
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Answer: 6,000 square feet Put in 100, hit the Multiplication ( X ) key, put in 60, hit the Equal (=) key.
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(On the next page put slide RE Math – Sect 2 –Page 001 & 001A)
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Square Yards
Given the dimensions by yards can determine the square yards for a parcel. Again, we multiply the width by the
length to get the square yards.
Example: A lot that is 40 yards by 40 yards is 1,600 square yards.
Calculation: Enter 40, hit the Multiplication key (X), enter 40, hit the Equal (=) key.
The answer is 1,600 yards.
Problem: How many square yards are there for a field 120 yards by 200 yards?
120 X 200 = 24,000 square yards of space.
1 square yard is 3 feet by 3 feet. 1 square yard is 9 square feet.
3 feet X 3 feet = 9 square feet.
Problem: How many square feet is there in a patio that is 4 square yards?
4 square yards X 9 square feet per square yard = 36 square feet for the patio.
Calculation: Enter 4 (square yards), hit the Multiplication key (X), enter 9 (square feet per square yard), and
then hit the Equal key (=).
(On the next page put slide RE Math – Sect 2 –Page 002 & 002A)
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Basic Math Calculations – Square Yards to Square Feet
Problem Solving: If a fence surrounds a lot and the fence is 50 yards by 30 yards, what is the square footage
for the lot? How many feet of fence?
1 yard is equal to 3 feet.
Square Footage
Put in 50, hit the Multiplication (X) key, put in 3, and hit the Equal (=) key. 50 yards is 150 feet.
Write down 150 feet.
Clear your calculator. Hit (C).
Put in 30, hit the Multiplication (X) key, put in 3, and hit the Equal (=) key.
30 yards is 90 feet.
50 yards x 3 = 150 ft; then 30 yds. X 3 = 90 ft; 150 ft width x 90 ft length = 13,500 sq ft.
OR you could do the following:
50 yards X 30 yards = 1,500 square yards.
A square yard is 9 square feet (3 feet X 3 feet = 9 square feet).
1,500 square yards X 9 square feet = 13,500 square feet.
Footage of the Fence
2 sides at 50 yards and 2 sides at 30 yards.
Put in 50, hit the multiplication (X) key, put in 2, and hit the Equal (=) key.
(100 total yards for length).
Put in 30, hit the multiplication (X) key, put in 2, and hit the Equal (=) key.
(60 total yards of width).
Add 100 yards + 60 yards = 160 total yards around the lot.
160 yards X 3 ft (per yard) = 480 feet of fence.
(On the next page put slide RE Math – Sect 2 –Page 003 & 003A)
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Cubic Feet
Cubic measurements are mainly used for construction of real property. It is also used for agricultural property to
measure storage ability for crops once they are harvested. It can also be used for containment of water in arid
areas where water is stored.
The cubic measurement simply adds an additional equation to the square footage formulas on the prior pages.
We multiple LENGTH times WIDTH times HEIGHT.
Example: We have a storage facility that is 30 feet long, 20 feet wide, and 20 feet high. Its capacity for storage
would be 12,000 cubic feet of storage space.
30 ft. X 20 ft. X 20 ft. = 12,000 cubic feet.
(On the next page put slide RE Math – Sect 2 –Page 004 & 004A)
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Cubic Feet – Problems
Helen is selling a warehouse that is 200 feet by 100 feet. It has a measurement to the ceiling of 20 feet. What is
the square footage and the cubic footage ability of the structure?
20,000 square feet of space * 200 feet X 100 feet is 20,000 square feet.
400,000 cubic feet of space * 200 feet X 100 feet X 20 feet is 400,000 cubic feet.
Bill has a client that is looking to buy a farm with a storage barn. The client needs at least 100,000 cubic feet of
storage ability. He found a barn that is 65 feet by 65 feet. How high would the measurement have to be in order
for the facility to meet the needs of his client?
24 feet high * 100,000 cubic feet divided by 65 and then divided by 65 again = 23.7 or 24 feet.
(On the next page put slide RE Math – Sect 2 –Page 005 & 005A)
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Cubic Yard – Calculations
Cubic yards are mainly used for delivery of cement. The cement companies always use cubic yard
measurements of cement for their billing costs of delivery.
Cubic Yard is 1 yard length by 1 yard width by 1 yard in height.
When putting cement forms together in construction, the forms are usually measured in feet. This means that
the calculations would have to be done to convert to cubic yards for ordering cement.
A cubic yard would also be 3 ft length by 3 ft width by 3 ft height.
So, a cubic yard would be 27 cubic feet OR 3 X 3 X 3 = 27 cubic feet.
Calculation: Put in 3, hit the Multiplication (X) key, put in 3, hit the Multiplication (X) key, put in 3, hit the
Equal (=) key. Answer: 27.
Problem Solving
How many cubic yards of cement is needed to build a driveway 20 yards long by 3 yards wide and 1 foot thick?
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1 foot is .33 of a yard or 1 divided by 3 = .33 of a yard.
20 yards X 3 yards X .33 yards = 19.8 cubic yards of cement.
Put in 20, hit the Multiplication (X) key, put in 3, hit the Multiplication (X) key, put in .33, hit the Equal (=)
key.
Answer: 19.
(On the next page put slide RE Math – Sect 2 –Page 006 & 006A)
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Cubic Measurements - Basic Math
Problem Solving
Bill is building a play area 80 ft by 40 ft. If the thickness of the cement is to be 6 inches, how many cubic feet
of cement is needed?
80 X 40 X .5 (50% of a foot) = 1,600 cubic feet.
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Put in 80, hit the Multiplication (X) key, put in 40, hit the Multiplication (X) key, put in .5, and hit the Equal
key.
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How many cubic yards would be needed?
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1,600 cubic feet divided by 27 = 59.26 cubic yards.
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Don’t forget, a cubic yard is 3 ft X 3 ft X 3 ft (or 3 X 3 X 3) = 27 cubic feet per cubic yard.
(On the next page put slide RE Math – Sect 2 –Page 007 & 007A)
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Circles
Basics of the Circle:
Circumference: The length around the circle; from the starting point all around the circle and back to the
starting point.
Distance around the
circle.
(On the next page put slide RE Math – Sect 2 –Page 008 & 008A)
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Circles
Basics of the Circle:
Diameter: Distance from the edge of the circle, through the center, and to the other side; splitting the circle in
half .
Radius: The radius is from the center to the edge of the circle. Basically, it is ½ of the diameter.
Radius from
the center to
the edge
Diameter is from one
side to the other side
(On the next page put slide RE Math – Sect 2 –Page 009 & 009A)
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Circles
Basics of the Circle:
When calculating different figure of circles we need to use a constant that is called Pi. It was given to us by the
Greeks and it is still used today. The Pi math figure is
mathematical constant when working with circles.
3.14.
You are going to have to memorize this
Figuring the Circumference From the Known Figure.
Formula: Diameter X Pi (3.14) = the Circumference; the distance around the circle.
Problem: If the diameter of a circular driveway is 50 feet, what is the circumference?
50 feet X 3.14 = 157 foot circumference.
Calculator: Enter 50, hit the Multiplication key ( X ), enter 3.14. Hit the Equal (=) key.
Problem: If the radius of a circle is 30 feet, what is the circumference of the circle?
Radius is ½ the diameter. 30 X 2 = a 60 foot diameter. 60 X Pi (3.14) = a circumference of 188 feet.
Calculator: Enter 30, hit the Multiplication key (X), enter 2, hit the Equal key to get 60. Leave the 60 on the
calculator and hit the Multiplication (X) key, enter 3.14, and hit the Equal (=) key.
(On the next page put slide RE Math – Sect 2 –Page 010 & 010A)
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Circles
Basics of the Circle: Square Feet of a Circle
Formula: Pi R squared or 3.14 X Radius times itself.
If the Radius is 10 feet, “the radius squared” is 10 X 10 or 100. 3.14 X 100 = 314 square feet.
Problem: If the Radius is 15 feet, what is the square feet of the circle?
15 X 15 = 225; 225 X 3.14 = 707 square feet (706.5 rounded to 707).
Calculator: Enter 15, hit the Multiplication key (X), enter 15, and press Equal (=). Leave the 225 figure on the
calculator and hit the Multiplication key (X), enter 3.14, and hit the Equal key (=).
(On the next page put slide RE Math – Sect 2 –Page 011 & 011A)
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Circles
Basics of the Circle: Square Feet of a Circle
Problem: If the diameter of a circle is 80 feet, what is the square footage?
First you have to convert to a radius.
80 foot diameter divided by 2 = a radius of 40 feet.
Radius squared: 40 X 40 = 1,600.
1,600 X Pi (3.14) = 5,024 square feet.
Calculator: Enter 80, hit the Division key , enter 2, hit the Equal key (=) = 40.
Leave the 40 on the calculator, hit the Multiplication key (X), enter 40, hit the Equal key (=) = 1600.
Leave the 1,600 on the calculator, hit the Multiplication key (X), enter 3.14, hit the Equal key (=). This will give
you 5,024 square feet.
(On the next page put slide RE Math – Sect 2 –Page 012 & 012A)
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Circles
Basics of the Circle: Cubic Feet of a Circle
Cubic feet is the square footage times the height.
Problem: If an oil tank has a diameter of 20 feet and is 10 tall, what is the cubic feet? Pi R squared
You need the radius: 20 divided by 2 = a 10 foot radius.
Radius squared is 10 X 10 = 100.
100 X 3.14 = 314 square feet.
314 X 10 foot tall is 3,140 cubic feet.
Cubic Yards of the Same Circle
Problem: What are the cubic yards?
3,140 divided by 27 = 116.3 cubic yards.
(On the next page put slide RE Math – Sect 2 –Page 013 & 013A)
(On the next page put an ending slide RE Math)
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