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Exercício de prisma
Exercício:
em um prisma hexagonal regula de altura de raiz quadrada de 3 m a area lateral e igual a area de uma das bases. calcule o volume desse prisma
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AL= AB
Pbase x H= 6.a2√3/4
6.a x √3= 6.a2√3/4
6.a2√3= 6.a √3 x 4
6.a2√3= 24a√3
6.a2/24a= √3/√3
1/4a= 1> 1/1/4= 1 x 4/1
a= 4 m
AB= 6.a2√3/4
AB= 6.42√3/4
AB= 6.16√3/4
AB= 96√3/4
AB= 24√3 m2
V= AB x H
V= 24√3 x √3
V= 72 m3
Resposta: V= 72 m3
um prisma triangular te 20 raiz de 3 cm cubico de volume e 5cm de aresta lateral. calcule a aresta da base.
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