Question

A área total de um cubo cuja diagonal maior mede 5√3 cm é: *​

Answer 1

D = 5√3

a√3 = 5√3 ==> a=5cm

At = 6.a² = 6. 5² = 6. 25 = 150 cm²

Answer 2

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

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

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

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

$\sf a=5$

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

$\sf A=6\cdot5^2$

$\sf A=6\cdot25$

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