Please help me find total outside surface area and volume of object in picture

Question

asked May 5, 2023 83.2k views

1 Answer

Jakob E · Answer 1 · 2023-05-09T08:00:06+0000

The shape is a triangular pyramid.

The total surface area of the triangular pyramid is;

$TSA=3((1)/(2)*9*9.46)+(1)/(2)(9\sin 60^o*9)$
$\begin{gathered} TSA=3(42.57)+(1)/(2)(70.14) \\ TSA=162.78m^2 \end{gathered}$

Also, the volume of the triangular pyramid is;

$\begin{gathered} V=(1)/(3)((1)/(2)(9\sin 60^o*9)*9.1) \\ V=(1)/(3)(319.17) \\ V=106.39m^3 \end{gathered}$