Question

A. What is the name of the 3D shape?

b. What is the formula for total surface area for this shape?
c. What is the surface area of the figure?

Answer 1

Check the picture below.

so then, let's notice, this triangular prism is really just 2 triangles and 3 rectangles stacked up to each other at the edges.

so if we simply get the area of each of those figures, and sum them up, that'd be the area of the prism.

notice, the triangles have a base of 4 and a height/altitude of 3.

`\bf \stackrel{\textit{2 triangles}}{2\left[ \cfrac{1}{2}(4)(3) \right]}~~+~~\stackrel{\textit{inclined rectangle}}{(5\cdot 11)}~~+~~\stackrel{\textit{ground rectangle}}{(4\cdot 11)}~~+~~\stackrel{\textit{standing rectangle}}{(3\cdot 11)} \\\\\\ 12+55+44+33\implies 67+77\implies 144`