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Exercício de Pirâmide Triangular Regular (tetraedro)
Exercício:
Em uma Pirâmide Regular Triangular, cada aresta lateral mede 2 raiz de 13 cm e cada aresta da base mede 6 raiz de 3 cm. Calcule a medida m do apotema da piramide.
Informações Adicionais:
tenho um resultado aqui, tem que dar 5cm. mas a conta não fexa, aqui da raiz de 39 :X me ajudem ;DD beeijo
calcule o volume de uma piramide triangular regular sabendo-se a aresta da base mede 10cm e sua altura mede 15 cm. (raiz de 3 igual a 1,73)
minha querida, o apótema do triangulo equilatero eh 1 terço da altura dele, ou seja (a raiz de 3)/6 = m’ . logo a distancia do centro do triangulo ate o seu vertice eh (a raiz de 3)/2 – (a raiz de 3)/6 = (a raiz de 3)/3 = r. ai a gente faz um pitagoras usando a aresta lateral, r, e h, altura da piramide, onde al² = r² + h². aí vc obtem h = 4. agora a gente faz outro pitagoras com m, m’, e h, onde m² = m’² + h². aííí vc obtem que m = 5.
calculae a altura, o apotema da piramede, a area da base, a area lareral,
e o volume do tetraedro regular de aresta 5cm e altura 5 raiz de 2, sobre, raiz de 3
Apt=Al.Ab
Apt= 2raiz de 3 .6raiz de 3
resolve e fica tudo lindo
al= 2raiz13cma=6raiz3cmap?
al²=ap²+(a/2)²
(2raiz13)²=ap²+(6raiz3/2)²4.13=ap²+9.3
52=ap²+27
ap=+/- raiz25
ap=+/-5cm
A aresta de um tetraedro regular mede raiz de 2 cm.Calcule:
a)o apótema da Base;
b)o apótema da pirâmide;
c)a aresta lateral;
d)a área da Base;
e)a área lateral;
f)a área total;
g)volume.
em um prisma hexagonal, cada aresta lateral mede 4cm e area de um base e 6raiz3cm.
a/calcule a medida de cada aresta da base desse prisma.
b/calcule a area lateral desse prisma.
c/calcule a marea total desse prisma.
por vafor eu quero a resposta
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