Question

Um cubo tem 10.√3cm de diagonal. Qual a medida da aresta ?

Answer 1

Resposta:

(x√2)² + x² = 10√3

x² × 2 + x² = 10√3

2x² + x² = 10√3

3x² = 10√3

x² = 10√3/3

$x = \sqrt{ \frac{10 \sqrt{3} }{3} } \\ x = \frac{ \sqrt[4]{2700}}{3 } \:cm$

Espero Ter Ajudado !!

Answer 2

Diagonal do cubo de aresta $\mathsf{\ell}$

$\huge\boxed{\boxed{\boxed{\boxed{\mathsf{D=\ell\sqrt{3}}}}}}$

$\mathsf{10\sqrt{3}=\ell\sqrt{3}}\\\large\boxed{\boxed{\boxed{\boxed{\mathsf{\ell=10~cm}}}}}$