Mathematics P1

Mathematics P1

1. Area, Volume & Perimeter

   • Area
     • Square's
       • Formula: H*L = A²
         • Example: 12cm*6cm = 72cm²
     • Triangle's
       • Formula: H*W÷2 = A²
         • Example: 10cm*5cm÷2 = 25cm²
     • Trapezium's
       • Formula: ½*H*W = A²
         • Example: ½*10cm*2cm = 10cm²
     • Circle's
       • Formula: π*R² = A²
         • Example: π*5² = 78.540²
   • Volume
     • Square's
       • Formula: H*W*L = V³
         • Example: 12cm*6cm*2cm = 144cm³
     • Triangle's
       • Formula: (H*W÷2)*D = V
         • Example: (10cm*5cm÷2)*5 = 125cm³
     • Circle's
       • Cylinder's
         • Formula: (π*R²)*D = V
           • Example: (π*10cm²)*5cm = 1,570.796cm³
       • Sphere's
         • Formula: ⁴⁄₃*π*R³ = V
           • Example: ⁴⁄₃*π*5³ = 523.599cm³
     • Trapezium's
       • Formula: (½*(B+T)*H)*D = V
         • Example: (½*(5+3)*10)*6 = 240cm³
     • Key:
       • ⁴⁄₃ = 1.3333333333
       • ½ = 0.5
       • D = Diameter
       • H = Height
       • W = Width
       • L = Length
       • V = Volume
       • B = Base
       • T = Top
       • R = Radius
   • Perimeter
     • Square's
       • Formula: (H*2)+(W*2) = P
         • Example: (12cm*2) + (6cm*2) = 36cm
     • Triangle's
       • Formula: H+W+Hy = P
         • Example: 12cm+6cm+15cm = 32cm
     • Circle's
       • Formula: π*D = C
         • Example: π*10cm = 31.416cm
     • Trapezium's
       • Formula: (H*2)+B+T = P
         • Example: (4cm*2)+5cm+3cm = 16cm
     • Key:
       • D = Diameter
       • C = Circumference
       • H = Height
       • W = Width
       • B = Base
       • T = Top
       • P = Perimeter
       • Hy = Hypothesis