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