All Math Formulas

Question 1

Areas of 2D shapes

Question 2

Area of a Rectangle

Answer 2

A = L x W

Question 3

Area of Square

Answer 3

A = L x W

OR 

A = Side x Side

Question 4

Area of a Triangle

Answer 4

A = (L x H) /2 OR (B x H) /2

Question 5

Area of a Parallelogram

Answer 5

A = L x H

Question 6

Area of a Trapezoid

Answer 6

A = 1/2 (B1 + B2) x H

Question 7

Area of a Circle

Answer 7

A = Pi (3.1416) x Radius to the 2nd power

Question 8

Area of an Ellipse

Answer 8

A = Pi(3.1416) x A x B

Question 9

Area of a Wing (Aircraft)

Answer 9

A = Span x Chord

Question 10

Circumference of 2D shapes

Question 11

Circumference of a Circle & Cylinder

Answer 11

C = Diameter x Pi (3.1416)

Question 12

Circumference of an Ellipse

Answer 12

C = 2 x Pi(3.1416) x the square root of A2 + B2 divided by 2

Question 13

Volume of 3D shapes

Question 14

Volume of a Rectangular Solid

Answer 14

V = L x W x H

Question 15

Volume of a Cube

Answer 15

V = Side x Side x Side

Question 16

Volume of a Cylinder

Answer 16

V = Pi(3.1416) x Radius to the 2nd power x H

Question 17

Volume of a Sphere

Answer 17

V = 4/3 x Pi(3.1416) x Radius to the 3rd power (if given the radius)

V = 1/6 x Pi(3.1416) x Diameter to the 3rd power (if goven the diameter)

Question 18

Volume of a Cone

Answer 18

V = 1/3 x Pi(3.1416) x Radius to the 2nd power x H

Question 19

Surface Area of 3D Shapes

Question 20

Surface Area of a Cube

Answer 20

S = 6 x S to the 2nd power

Question 21

Piston Displacement

Answer 21

PD = Pi(3.1416) x (Diameter Bore /2) to the 2nd power x Stroke x # of cylinders

______________
| |
| |<— The stroke
| |
| |
|—————— |
| |<–Piston
| |
| ~~~~~~~~~~|<–DB
———————
| |

Question 22

The volume of a Cylinder if given the culinder bore or diameter:

Answer 22

V = Pi(3.1416) x Diameter divided by 2 squared x H

Question 23

Compression Ratio:

Answer 23

CR = Vbottom over Vtop

*but if asking for CR and not given a V Top then you use:

Vtop = Vbottom - Displacement

Question 24

Gear Ratio w teeth:

Answer 24

Teeth Pinion Gear = Speed Spur Gear
————————– ————————-
Teeth Spur Geat Speed Pinion Gear

Question 25

Glide Ratio:

Answer 25

Distance
= ————
Altitude