Geomtry Formulas (8th-10th)+Some extra ones too!(MADE Specially for the SBA)

Cube Total Surface Area(TSA)

TSA → 6s²

Cube Lateral Surface Area(LSA)

LSA → 4s²

Cuboid Total Surface Area(TSA)

TSA → 2(LW+HW+LH)

Cuboid Lateral Surface Area(LSA)

LSA→2(HW+LH)

Sphere Surface Area(SA)

SA → 4πr²

Hemi-Sphere Surface Area(SA)

SA → 3πr²

Cylinder Total Surface Area(TSA)

TSA→2πr(h+r)

Cylinder Curved Surface Area(CSA)

CSA→2πrh

Prism Total Surface Area(TSA)

TSA→2(Area of Base)+LSA

Prism Lateral Surface Area(LSA)

LSA→ Perimeter of Base * Height

Pyramid Total Surface Area (TSA)

TSA → LSA + Area of Base

Pyramid Lateral Surface Area(LSA)

LSA → ½ * Perimeter of Base * Slant height

Cones Total Surface Area(TSA)

TSA→ πr(L+r)

Cones Lateral Surface Area(LSA)

LSA→ πrL

Converting a repeating decimal

To convert a repeating decimal to a fraction, consider 0.333... as x. Multiply x by 10 to get 3.333... Subtract x from 10x to get 9x = 3. Solve for x to get the fraction

Finding an approx val of a square root

√27 is between √25=5 and √36=6, so it is between 5 and 6. 27-25= 2. 36-25= 11. 2/11≈0.18. 5+0.18= 5.18. Then round up get a close estimate, so 5.2. So the approx val of the square root is 5.2.

Distance between 2 points

d = √{(x -X)² + (y - Y)²}

Pythagorean Theorem 2D

a²+b²=c² a= Height b= Base c=Hypothnuse

Pythagorean Theorem 3D for cones

L²= r²+h² L=Slant Height r=Radius h=Height

Cube Volume

V→ s³

Cuboid Volume

V→ LHW

Sphere Volume

V → 4/3πr³

Hemi-Sphere Volume

V → 2/3πr³

Cylinder Volume

V → πr²h

Pipe Volume

V→ πh(R²-r²)

Prism Volume

V→ area of base * height

Pyramid Volume

V→ 1/3 * area of base* height

Cone Volume

V→ 1/3πr²h