Question

a area total do cubo e de 16cm2 calcule o volume desse cubo

Answer 1

$A_{cubo} = 6a^{2} ~~~~~~~~~~~~~~~~~~~~~~~~~ V_{cubo}= a^{3} \\ 6a^{2} =16 \\ \\ a^{2}= \dfrac{16}{6} = \dfrac{8}{3} ~~~~~~~~~~~~~~~~~~~~~~~~ V_{cubo}= \dfrac{8}{3}.2 \sqrt{ \dfrac{2}{3} } = \dfrac{16 \sqrt{ \dfrac{2}{3} } }{3} ~ cm^{3} \\ \\a= \sqrt{ \dfrac{8}{3} } = 2 \sqrt{ \dfrac{2}{3} } \\ \\ .$