Question

CALCULE O VOLUME DO CUBO EM CM/3 . CUJA A DIAGONAL MEDE $5\sqrt{3\\}$

Answer 1

Diagonal do cubo de aresta

$\huge\mathsf{\ell}$

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

Volume do cubo de aresta

$\huge\mathsf{\ell}$

$\huge\boxed{\boxed{\boxed{\boxed{\mathsf{V=\ell^3}}}}}$

$\dotfill$

$\mathsf{D=\ell\sqrt{3}}\\\mathsf{5\sqrt{3}=\ell\sqrt{3}\implies~\ell=5~cm}\\\mathsf{V=\ell^3}\\\mathsf{V=5^3}\\\huge\boxed{\boxed{\boxed{\boxed{\mathsf{V=125~cm^3}}}}}$