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NOMBRE FORMA ÁREA 
TRIÁNGULOS 
(Polígono de 
tres lados) 
A = 1 ⋅ 
h 
Triángulo b h 
2 
b 
l 
Cuadrado A = l2 
l 
h 
Rectángulo A = b ⋅h 
Rombo 
⋅ 
A D d 
2 
= 
(tienen los lados paralelos dos a 
PARALELOGRAMOS 
dos) 
b 
D 
d 
h 
Romboide A = b ⋅h 
Trapecio 
rectángulo 
Trapecio 
isósceles 
TRAPECIOS 
(Tienen dos lados 
paralelos) 
Trapecio 
escaleno 
h 
+ 
A B b ⋅ 
2 
= 
(Polígono de cuatro lados) 
CUADRILÁTEROS 
TRAPEZOIDES 
Trapezoide 
Se divide en 2 
triángulos y se 
suman sus 
áreas 
Polígono regular 
⋅ 
A P a 
2 
= 
POLÍGONOS 
DE n LADOS 
Polígono irregular 
Se divide en 
triángulos y se 
suman sus 
áreas 
b 
b 
h 
B 
b 
h 
B 
b 
B 
h 
l a 
Circunferencia L = 2⋅ π ⋅ r 
ÁREAS DE FIGURAS PLANAS 
r 
Círculo A = π⋅ r 2
NOMBRE FORMA ÁREAS VOLUMEN 
PRISMA 
A = P ⋅ 
h 
L B 
⋅ 
A P a 
B B 
B 
2 
= 
A = A + 2 ⋅ 
A 
T L B 
V A h B = ⋅ 
POLIEDROS 
PIRÁMIDE 
⋅ 
A P a 
B l 
2 
= 
⋅ 
A P a 
B B 
L 
B 
2 
= 
A = A + 
A 
T L B 
V 1 B = ⋅ 
A h 
3 
CILINDRO 
A = 2 ⋅ π ⋅ R ⋅ 
h 
2 
L 
A R 
B 
= π ⋅ 
A = A + 2 ⋅ 
A 
T L B 
V A h R2 
B = ⋅ = π⋅ ⋅ 
CONO 
A = π ⋅ R ⋅ 
g 
2 
L 
A R 
B 
= π ⋅ 
A = A + 
A 
T L B 
= ⋅ = 
R h 
V 1 
1 
3 
A h 
3 
2 
B 
= ⋅ π⋅ ⋅ 
ÁREAS Y VOLÚMENES DE CUERPOS GEOMÉTRICOS 
FIGURAS DE REVOLUCIÓN 
V = 4 ⋅ π ⋅ 
L A = 4 ⋅ π⋅R R3 
h 
ESFERA 2 
3 
h 
h 
al 
h 
R 
R 
R 
g

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Geometria1unidad5

  • 1. NOMBRE FORMA ÁREA TRIÁNGULOS (Polígono de tres lados) A = 1 ⋅ h Triángulo b h 2 b l Cuadrado A = l2 l h Rectángulo A = b ⋅h Rombo ⋅ A D d 2 = (tienen los lados paralelos dos a PARALELOGRAMOS dos) b D d h Romboide A = b ⋅h Trapecio rectángulo Trapecio isósceles TRAPECIOS (Tienen dos lados paralelos) Trapecio escaleno h + A B b ⋅ 2 = (Polígono de cuatro lados) CUADRILÁTEROS TRAPEZOIDES Trapezoide Se divide en 2 triángulos y se suman sus áreas Polígono regular ⋅ A P a 2 = POLÍGONOS DE n LADOS Polígono irregular Se divide en triángulos y se suman sus áreas b b h B b h B b B h l a Circunferencia L = 2⋅ π ⋅ r ÁREAS DE FIGURAS PLANAS r Círculo A = π⋅ r 2
  • 2. NOMBRE FORMA ÁREAS VOLUMEN PRISMA A = P ⋅ h L B ⋅ A P a B B B 2 = A = A + 2 ⋅ A T L B V A h B = ⋅ POLIEDROS PIRÁMIDE ⋅ A P a B l 2 = ⋅ A P a B B L B 2 = A = A + A T L B V 1 B = ⋅ A h 3 CILINDRO A = 2 ⋅ π ⋅ R ⋅ h 2 L A R B = π ⋅ A = A + 2 ⋅ A T L B V A h R2 B = ⋅ = π⋅ ⋅ CONO A = π ⋅ R ⋅ g 2 L A R B = π ⋅ A = A + A T L B = ⋅ = R h V 1 1 3 A h 3 2 B = ⋅ π⋅ ⋅ ÁREAS Y VOLÚMENES DE CUERPOS GEOMÉTRICOS FIGURAS DE REVOLUCIÓN V = 4 ⋅ π ⋅ L A = 4 ⋅ π⋅R R3 h ESFERA 2 3 h h al h R R R g