Calcule o comprimento da aresta desse octaedro regular. Calcule a área da superfície desse octaedro regular. a) a = 2/3 e Área total = 8/3 b) a = 2...

Para calcular o comprimento da aresta de um octaedro regular, é necessário utilizar a fórmula: a = (raiz de 2) / 2 * L Onde "a" é o comprimento da aresta e "L" é a medida da diagonal do octaedro. Já para calcular a área da superfície de um octaedro regular, é necessário utilizar a fórmula: A = 2 * (raiz de 3) * a² Onde "A" é a área da superfície e "a" é o comprimento da aresta. Substituindo os valores dados na alternativa "a", temos: a = 2/3 * L L = (3/2) * a a = (raiz de 2) / 2 * L a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a = (raiz de 2) / 2 * (3/2) * a a =