Question

Dado a figura ao lado. Determine:
a) Área da base;
b) Área lateral;
c) Área total;
d) Volume.

Answer 1

Caso tenha problemas para visualizar a resposta experimente abrir pelo navegador https://brainly.com.br/tarefa/34883372

                                                                                     

$\rm c\acute alculo~do~ap\acute otema~da~base: \\\sf m=\dfrac{5}{2}~cm\\\rm c\acute alculo~do~ap\acute otema~da~pir\hat amide:\\\sf a_p^2=h^2+m^2\\\sf a_p^2=9^2+\left(\dfrac{5}{2}\right)^2\\\sf a_p^2=81+\dfrac{25}{4}\\\sf a_p^2=\dfrac{349}{4}\\\sf a_p=\sqrt{\dfrac{349}{4}}\\\sf a_p=\dfrac{\sqrt{349}}{2}~cm$

$\tt a)~\sf A_b=5^2\\\sf A_b=25~cm^2\\\tt b)~\sf A_\ell=4\cdot\dfrac{1}{2}\cdot5\cdot\dfrac{\sqrt{349}}{2}\cdot\\\sf A_\ell=5\sqrt{349}~cm^2\\\tt c)~\sf A_t=A_\ell+A_b\\\sf A_t=5\sqrt{349}+25\\\sf A_t=5\cdot(\sqrt{349}+5)~cm^2\\\tt$

$\tt d)~\sf V=\dfrac{1}{3}\cdot A_b\cdot h\\\sf V=\dfrac{1}{\diagup\!\!\!3}\cdot 25\cdot\diagup\!\!\!9^3\\\sf V=75~cm^3$