Question

8) a área total de um cubo cuja diagonal mede. 5 √¯3 cm é:

Answer 1

$\sf d=a\cdot\sqrt{3}$

$\sf5\cdot\sqrt{3}=a\cdot\sqrt{3}$

$\sf a\cdot\sqrt{3}=5\cdot\sqrt{3}$

$\sf a=\dfrac{5\cdot\cancel{\sqrt{3}}}{\cancel{\sqrt{3}}}$

$\sf a=5$

$\sf A=6\cdot a^2$

$\sf A=6\cdot5^2$

$\sf A=6\cdot25$

$\boxed{\boxed{\sf A=150\,cm^2}}$