Question

Um paralelepípedo reto-retângulo tem aresta de 3 cm, 5 cm e 8 cm. Determine:
a) a diagonal
b) a área total
c) o volume

Answer 1

a)Calculando a diagonal:

$D = \sqrt[2]{3^2 + 5^2 + 8^2}\\\\D = \sqrt[2]{9 + 25 + 64} \\\\D = \sqrt[2]{98} \\\\D = \sqrt[2]{2.49}\\\\D = 2\sqrt[2]{49}\\\\D =7\sqrt[2]{2}\ cm$

b) Calculando a área total

$At = 2.(3.5 + 3.8 + 5.8)\\At = 2.(15 + 24 + 40)\\At = 2.79\\\At = 158\ cm^2$

c) Calculando o volume

$V = 3.5.8\\V = 15.8\\V = 120\ cm^3$

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