Question

3) Sendo o segmento de reta DE igual a 6 m e o segmento EF igual a 10, que os segmentos DE e DF são perpendiculares e AD vale 2 m. Calcule o volume do poliedro abaixo.​

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{\overline{\rm DE} = 6\:m}$

$\mathsf{\overline{\rm EF} = 10\:m}$

$\mathsf{\overline{\rm AD} = 2\:m}$

$\mathsf{(\overline{\rm DF})^2 = 10^2 - 6^2}$

$\mathsf{(\overline{\rm DF})^2 = 100 - 36}$

$\mathsf{(\overline{\rm DF})^2 = 64}$

$\mathsf{\overline{\rm DF} = 8\:m}$

$\mathsf{A_B = \dfrac{B \times h}{2} = \dfrac{\overline{\rm DF} \times \overline{\rm DE}}{2} = \dfrac{8 \times 6}{2} = \dfrac{48}{2} = 24\:m^2}$

$\mathsf{V = A_B \times h = 24 \times 2}$

$\boxed{\boxed{\mathsf{V = 48\:m^3}}}$