Question

Calcule a medida diagonal de cada paralelepípedo

Answer 1

Diagonal do Paralelepípedo

a) $d= \sqrt{a^2+ b^2 + c^2}$

   $d = \sqrt{(5\sqrt{3})^2 + (5\sqrt{3})^2+(5\sqrt{3})^2 }$

   $d = \sqrt{25.3+25.3+25.3}$

   $d = \sqrt{75+75+75}$

   $d = \sqrt{225}$

   $d = \boxed{15cm}$

b)   $d = \sqrt{a^2+b^2+c^2}$

     $d = \sqrt{3^2 + (\frac{3}{2})^2+ 2^2 }$

    $d = \sqrt{9+(1,5)^2+4}$

    $d = \sqrt{9+2,25 + 4}$

    $d = \sqrt{15,25}$

    $d = 3,905124838$

    $d$ ≅ $\boxed{4cm}$

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