Cube

A = 6 a²

a –  base lenght

Rectangular prism

A = 2lw +2wh + 2lh=

= 2(lw +wh+lh)

l – lenght, w –  width, h – height

Triangular prism

SA= LSA + 2 B

LSA = aH + bH + cH =
=(a + b + c) H  = PH

A = 2 (ah/2) + (a+b+c)H =ah+PH

SA – surface area

B – triangular faces area, base area

LSA – lateral surface area

a – length of one side of the triangle,

h – length of an altitude drawn to side
H – distance between the triangular faces.

P –  perimeter of triangle, face

a, b, c – sides of tirangle(base)

n-gonal prism

SA – surface area

B –   base area

LSA – lateral surface area

B –  base area (regular polygon area)
H –  height of prism

P- perimeter of base, regular polygon

Square pyramid

SA= LSA +  B

A = B + 1/2 x P x l

P = 4a

LSA =1/2 x P x l=

= 1/2 x 4a x l =2al

B = a²

Lateral surface area of a pyramid (LSA) = Sum of areas of the lateral surfaces of the pyramid

 SA – surface area

LSA – lateral surface area

B – bases area

a -base´s side lenght

H –  perpendicular height, height of the pyramid

B – area of ​​pyramid base

P –  perimeter of the base

l –  slant length of the lateral sides (lenght base to vertex, apex)

Triangular Pyramid

SA= LSA +  B

SA = B + 1/2 x P x l

LSA =1/2 x P x l

Bases area  =  polygon area

Lateral surface area of a pyramid (LSA) = Sum of areas of the lateral surfaces (triangles) of the pyramid

SA – surface area

LSA – lateral surface area

B – bases area

P –  base perimeter

H –  perpendicular height, height of the pyramid

a -base´s side lenght

l (m) –  slant length of the lateral sides.

Bases area  = polygon area

h – height of the triangle

Sphere

SA = 4πr²

r – radius

Right circular cone

B – area of the base

H, h – perpendicular height, height of the cone

r – radius

Cilinder

Area = 2 · the area of the base + base circumference · height
A = 2πr² + 2πrh

B –  base area
h –  height of cilinder
r – radius