Surface Area and Volume Formulas

Length/Perimeter Formulas

  • Circumference: c=πdc = \pi d or c=2πrc = 2 \pi r
  • Arc Length: l=θ360×2πrl = \frac{\theta}{360} \times 2 \pi r

Area Formulas

  • Square: A=s2A = s^2
  • Rectangle: A=l×bA = l \times b
  • Triangle: A=12bhA = \frac{1}{2} b h
  • Parallelogram: A=bhA = b h
  • Rhombus: A=12xyA = \frac{1}{2} x y
  • Kite: A=12xyA = \frac{1}{2} x y
  • Trapezium: A=12h(a+b)A = \frac{1}{2} h (a + b)
  • Circle: A=πr2A = \pi r^2
  • Sector: A=θ360×πr2A = \frac{\theta}{360} \times \pi r^2

Surface Area Formulas

  • Cylinder: SA=2πr2+2πrhSA = 2 \pi r^2 + 2 \pi r h
  • Cone: SA=πr2+πrlSA = \pi r^2 + \pi r l
  • Sphere: SA=4πr2SA = 4 \pi r^2

Volume Formulas

  • Cube: V=s3V = s^3
  • Rectangular Prism: V=l×b×hV = l \times b \times h
  • Prism: V=AhV = A h
  • Pyramid: V=13AhV = \frac{1}{3} A h
  • Cylinder: V=πr2hV = \pi r^2 h
  • Cone: V=13πr2hV = \frac{1}{3} \pi r^2 h
  • Sphere: V=43πr3V = \frac{4}{3} \pi r^3

Pythagoras Theorem

  • a2+b2=c2a^2 + b^2 = c^2