Formulas

S.A

100

S.A Sphere

4πr²

200

S.A Prism

Find area of all 2d shapes in its net, then add them up.

300

S.A cone

πr²+πrl

r=radius

l=slant height

use pythagorean theorem to find slant height/hypotenuse if need be

400

S.A cylinder

2(πr²)+hc

h=height

c=circumference

500

S.A pyramid

Treat the pyramids like a prism and find the area of the 2d shapes in the net, then add them up.

Volume

100

Volume sphere

{4/3}πr³

200

Volume cone

{1/3}(Bh)

B=πr²

300

Volume prism

lwh

400

Volume cylinder

Bh

B=πr²

500

Volume pyramid

Same as a cone: (Bh)/3

B=base(square,triangle,etc)

Area

100

Area of trapezoid

h(b₁+b₂)/2

Decimal => fraction

100

1.83

(83 repeats)

100x=183.8383...

1x =   -  1.8383...

99x = 182

x=182/99

200

1.8

(8 repeats)

10x = 18.888... 

1x =  -  1.888...

9x =  17

x  = 17/9

300

1.123

(123 repeats)

1000x = 1123.123123...

1x =      -     1.123123...

999x =  1122

x = 1122/999

400

1.12

(2 repeats)

10x = 11.222...

1x =  -  1.122...

9x = 10.1

90x = 101

x=101/90

500

1.567

(67 repeats)

100x = 156.76767...

1x =    -    1.56767...

99x = 155.2

990x = 1552

x = 1552/990