Chapter on Formulas

Formulas for Prism

• Lateral Area (LA): The sum of the areas of the lateral faces.
• Formula: LA = pH
  Where:
  p = perimeter of one base
  H = height of the prism
• Total Surface Area (SA): The sum of the lateral area and the area of the two bases.
• Formula: SA = 2B + pH
  Where:
  B = area of one base

Formulas for Pyramid

• Lateral Area (LA):
• Formula: LA = \frac{1}{2} p l
  Where:
  p = perimeter of the base
  l = slant height
• Surface Area (SA): The combination of the base and the lateral area.
• Formula: SA = B + \frac{1}{2} p l
  Where:
  B = area of the base

Formulas for Cylinder

• Lateral Area (LA):
• Formula: LA = 2\pi rh
  Where:
  r = radius
  h = height
• Surface Area (SA):
• Formula: SA = 2\pi r^2 + 2\pi rh
  Where:
  \pi = pi ( \pi )

Formulas for Cone

• Lateral Area (LA):
• Formula: LA = \pi r l
  Where:
  r = radius of the base
  l = slant height
• Surface Area (SA):
• Formula: SA = \pi r^2 + \pi r l

Formulas for Sphere

• Surface Area:
• Formula: SA = 4\pi r^2

Hemisphere

• Surface Area of Hemisphere:
• Formula: SA = 2\pi r^2

Frustum of a Cone

• Surface Area (SA):
• Formula: SA = \pi R^2 + \pi r^2 + \pi (R + r) l
  Where:
  R = radius of the larger base
  r = radius of the smaller base
  l = slant