Conversions, Formulae, Classifications for Surveyors

Question 1

Conversion from Foot to Meter

Answer 1

1 foot = 0.3048 Meters

Question 2

Conversion from Meter to Foot

Answer 2

1 meter= 3.28084 feet

Question 3

Conversion from degrees Fahrenheit to degrees Celsius

Answer 3

°C=5/9(°F-32)

Question 4

Conversion from degrees Celsius to degrees Fahrenheit

Answer 4

°F = °C×(9/5)+32

Question 5

Dimensions of a square acre

Answer 5

208.71x208.71

Question 6

Square footage of an acre

Answer 6

43560 square feet.

Question 7

Old style USQS Quadrangle map

Answer 7

1:24,000 scale on 7.5 minute map

Question 8

What is the length of a “Gunter’s Chain” ?

Answer 8

Edmund Gunter 100 links=66’, each link 7.92’ inches

Question 9

What is the length of an Engineer’s Chain?

Answer 9

100’ , 1’ link.

Question 10

Who was Benjamin Banneker?

Answer 10

Not inventor of chain, African American Surveyor from Maryland who helped to survey Washington DC in 1791. 40 markers placed, some still remain.

Question 11

Conversion from Vara (Spanish territory measurement) to feet

Answer 11

1 vara= 2.7500005511811 feet, or divide Varas by 0.36

Question 12

Conversion from feet to Vara (Spanish territory measurement)

Answer 12

1 foot= 0.36 Varas, or multiply foot by 0.36

Question 13

NGS standard, 3rd order Class II

Answer 13

1:10,000

Question 14

Traditional standard, Order AA

Answer 14

1 part in 100,000,000

Question 15

Traditional standard, Order A

Answer 15

1 part in 10,000,000

Question 16

Traditional standard, Order B, first order

Answer 16

1 part in 100,000 angles:(2”√N¹)

Question 17

Traditional standard, Order B, second order, Class I

Answer 17

1 part in 50,000 angles:(3”√N)

Question 18

Traditional standard, Order B

Answer 18

1 part in 1,000,000

Question 19

Traditional standard, Order B, second order, Class II

Answer 19

1 part in 20,000 angles:(5”√N)

Question 20

Traditional standard, Order B, third order, Class I

Answer 20

1 part in 10,000 angles:(10”√N)

Question 21

Traditional standard, Order B, third order, Class II

Answer 21

1 part in 5,000 angles:(20”√N)

Question 22

Engineering Construction (Fourth Order)

Answer 22

1 part in 2,500 or 1:2,500 angles:(60”√N)

Question 23

1 degree curve has an arc length of?

Answer 23

100’ arc length and a radius of 5729.58

Question 24

1 minute angle at 100’ is what distance

Answer 24

.029 (or .03’) per 100’

Question 25

1 degree angle at 100’ is what distance

Answer 25

1.745’ (or 1’-9”) per 100’

Question 26

20 seconds angle at 100’ is what distance

Answer 26

1/8 or .01’ per 100’

Question 27

1 mile= how many feet

Answer 27

5280

Question 28

1 mile= how many yards

Answer 28

1760

Question 29

What is an adit

Answer 29

a (mining) tunnel for mine drainage, ventilation or transportation)

Question 30

What is reversion, and regarding what

Answer 30

term used to define process of of adjusting a spirit level by splitting the error and adjusting ½ the error until the bubble does not change position

Question 31

Total station is less accurate than steel tape when

Answer 31

the measured distance is less than 100’

Question 32

area of a circle formula

Answer 32

A = π(3.14)r²

Question 33

length of an arc formula

Answer 33

Arc Length = θ * r where θ (theta) where angle is radians, is angle if in degrees (πrθ)/180 (look to calculator for degrees min sec) (another version is L=θdπ/360°)

Question 34

Volume of Cylinder formula

Answer 34

V = πr²h (height)

Question 35

(n)⁰

Answer 35

Whatever the number, if raised to zero power, is =1

Question 36

polygon formula

Answer 36

Sum of interior angles=(n-2)180°

Question 37

Weight of a gallon of fresh water

Answer 37

8.33lbs

Question 38

Weight of a gallon of salt water

Answer 38

8.54lbs

Question 39

Formula converting Pound (lb) to Kilogram (Kg)

Answer 39

1lb=0.453592Kg

Question 40

Formula converting Kilogram (Kg) to Pound (lb)

Answer 40

1Kg=2.20462lbs

Question 41

1 meter is how many inches

Answer 41

39.37” exactly

Question 42

1 meter in U.S. feet

Answer 42

3.2808333 U.S. feet also 39.37”

Question 43

How many rods is a Gunter’s Chain

Answer 43

4 rods (4 poles) 66ft

Question 44

1 international foot in meters

Answer 44

.3048 meters

Question 45

How many Gunter’s chains in a mile

Answer 45

80(Gunter’s Chain 66’)

Question 46

How many square feet in 10chains²?

Answer 46

435600 feet² (10 acres)

Question 47

Formula for Circumference of a circle

Answer 47

C=πd

Question 48

Area of a trapezoid

Answer 48

A=1/2h(a+b), where h is height, a and b are the horizontal sides

Question 49

Area of sector of a circle (fractional part of circle in relationship to radial lines)

Answer 49

A = π(3.14)r² parts of this are arc angle/360°

Question 50

Area of a segment of a circle (any part of circle not just along radial lines)

Answer 50

(θ / 360°) × πr2 - (1/2) r2 sin θ (OR) r2 [πθ/360° - sin θ/2], if ‘θ’ is in degrees

Question 51

Area of a triangle (not necessarily right triangle)

Answer 51

A=1/2bh (where b is base, h is height)

Question 52

Volume of a cube

Answer 52

V=lwh (l is length, w is width, h is height)

Question 53

What is a prism in geometry

Answer 53

A solid shape that is bound on all sides by plane faces, faces other than top and bottom of a prism are called lateral faces

Question 54

Formula of volume of Right prisms and cylinders

Answer 54

V=Ahₚ (the area x height of the prism (or cylinder).

Question 55

Formula of volume of a cone

Answer 55

V=(πr²)h/3

Question 56

Formula for volume of a pyramid

Answer 56

V=1/3Ah

Question 57

Volume of a sphere

Answer 57

V=4/3πr²