Surface Area and Volume Formulas

Length/Perimeter Formulas

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

Area Formulas

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

Surface Area Formulas

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

Volume Formulas

  • Cube: V = s^3
  • Rectangular Prism: V = l \times b \times h
  • Prism: V = A h
  • Pyramid: V = \frac{1}{3} A h
  • Cylinder: V = \pi r^2 h
  • Cone: V = \frac{1}{3} \pi r^2 h
  • Sphere: V = \frac{4}{3} \pi r^3

Pythagoras Theorem

  • a^2 + b^2 = c^2