Geometria Espacial

Question 1

nº de arestas de um poliedro?

Answer 1

A = nF/2 (n= nº de lados da face)

A = pV/2 (p= nº de arestas que partem de cada vértice)

Question 2

Teorema de Euler

Answer 2

V - A + F = 2

Question 3

Soma dos ângulos das faces de um poliedro

Answer 3

S = (V - 2) . 360º
(V=nº de vértices)

Question 4

Nº de diagonais de um poliedro

Answer 4

D = Cv,2 - Df - A
(Df= nº de diagonais das faces
A = arestas)

*Cv,2 = V! / (V-2)! . 2!

Question 5

area total do prisma

Answer 5

At = Alateral + 2 . Abase

Question 6

volume do prisma

Answer 6

V = Abase . altura (h)

Question 7

area lateral do cilindro

Answer 7

2 pi R h

Question 8

area total do cilindro

Answer 8

2 pi R h + 2 pi R²

Question 9

volume cilindro

Answer 9

pi R² h

Question 10

volume pirâmide

Answer 10

1/3 . A base . altura (h)

Question 11

area total pirâmide

Answer 11

At = Abase + Alateral

Question 12

geratriz

Answer 12

g² = h² + r²

Question 13

area da base cone

Answer 13

pi r²

Question 14

area lateral cone

Answer 14

pi r g —-> (pirge)
( g = geratriz)

Question 15

area total cone

Answer 15

At = pi r (r + g)

Question 16

volume cone

Answer 16

v = 1/3 pi r²

Question 17

area esfera

Answer 17

4 pi r²

Question 18

volume esfera

Answer 18

4/3 pi r³

Question 19

area fuso esferico

Answer 19

Af = pi r² (alfa) / 90º

Question 20

area cunha esférica

Answer 20

Ac = pi r² + (pi r² (alfa)) /90º

Question 21

volume cunha esferica

Answer 21

Vc = pi r³ (alfa) / 90º