Question

Determine a área total e o volume dos prismas abaixo:​

Answer 1

$\boxed{\begin{array}{l}\sf figura~1:\\\rm A_t=2\cdot(4\cdot2+2\cdot3+4\cdot3)\\\rm A_t=2(8+6+12)\\\rm A_t=2\cdot26\\\rm A_t=52~cm^2\\\rm V=4\cdot2\cdot3\\\rm V=24~cm^3\end{array}}$

$\boxed{\begin{array}{l}\sf Figura~2:\\\rm B=\dfrac{3\cdot2^2\sqrt{3}}{4}=3\sqrt{3}~cm^2\\\rm A_l=6\cdot2\cdot5=60~cm^2\\\rm A_t=A_l+2B\\\rm A_t=60+2\cdot3\sqrt{3}\\\rm A_t=60+6\sqrt{3}\\\rm A_t=6(10+\sqrt{3})~cm^2\\\rm V=B\cdot H\\\rm V=3\sqrt{3}\cdot5\\\rm V=15\sqrt{3}~cm^3\end{array}}$