### In Depth Analysis of the Friday class. Applied Math 40s

ok. first you have to calculate the Area of driveway, you can do that as follows:

Option 1: devide into triangle & trapezoid

Area 1 of driveway ( Rectangle)

Area: 98' by 18'----- 98*18=1692ft^2

Area 2 of driveway ( trapezoid)

((16+21)4)/2=74ft^2

OR you can devide into rectangles and triangle:

Rectangles:

A: 73'*18'= 1314'

B: 5'*18'= 90'

C: 22'*16'= 352'

Triangles:

D: (4*5)/2=10'

Total Area of driveway= 1766ft^2

**Concrete & Gravel ( first method)**

Then use the area to calculate volumes & cost. change inches into ft. 12''=1 ft

Example : 12''---- 12/12= 1 ft.

For first method as follows: For second method as follows:

Gravel : 1 ft Limestone: 1.00ft Lime stone: 1.00ft

concrete:0 .33ft sand: 0.29ft sand: 0.29ft

concrete: 1.33ft

paving stone: 1.50ft

To calculate volume changed ft. into cubic ft. then cubic ft. into cubic yard to calculate cost.

First method volumes & Cost: Gravel= 1766*(12/12)= 1766ft^3/27 = 65.41 yd^3

Concrete=1766(4/12)= 588.67ft^3/27= 21.80 yd^3

Volume excavation= gravel + concrete= -------------------------------------= 87.21 yd^3

Gravel = 65.41 yd^3 ( $12.00/yd^3) = $784.92

Concrete= 21.80 yd^3 ($130.00/yd^3) = $2834.00

Excavation= 87.21yd^3($60.00/yd^3) = $5232.60

Subtotal:----------------------------------------------------------------------= $8851.52

Taxes: concrete and gravel= $2834+$784.92= $3618.92*14% =$ 506.65

Excavation $5332.60 * 7% ----------------------------------------- =$ 366.28

* Cu'z, only GST is calculated for excavation

Total Taxes= $ 872.93

Total cost= subtotal plus taxes------------------ Total Cost= $ 9724.45

**Paving Stones (Second Method)**

Second method Volume & Cost: Paving Stone = 1766*(2.5/12)= 367.92ft^3/27= 13.62 yd^3

Lime Stone = 1766*(12/12)= 1766ft^3/27 = 65.41 yd^3

Sand= 1766*(3.5/12)= 515.08ft^3/27 = 19.08 yd^3

Volume Excavation= volume lime stone + volume paving stone + volume sand = 98.11 yd^3

Paving Stone= 13.62 yd^3 change into ft^2 = $4730.85

Lime Stone= 65.41 yd^3($15.00/yd^3) = $981.15

sand= 19.08 yd^3 ($14.00/yd^3) = $76.32

Excavation= 98.11 yd^3($60.00/yd^3) = $5886.60

Subtotal= $11314.92

Taxes: (cost sand + lime stone + paving stone) * 14%--------------------------- =$ 759.97

(Excavation * 7%)------------------------------------------------------ = $412.06

Total Taxes= $1172.03

Total cost= subtotal plus taxes Total Cost= $12486.94

*** Therefore paving stones cost more by---------------------- $1286.94-9724.45= $2762.50

That's All Folks. have good weekend next scribe i will pick in class on monday.

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