Question

I need help getting started please

Answer 1

Answer:

The surface area = 175.2 mm²

Step-by-step explanation:

Formula:-

Area of rectangle = lb

Area of triangle = bh/2

It is given a triangular prism.

To find the surface area

Surface area = 3 Rectangle area + 2 triangle area

Rectangle area = 3 * lb

 = 3 * 8 * 6

 = 144  mm²

Triangle area  = 2 * bh/2 = bh

  = 6 * 5.2 = 31.2²

Total area = 144 + 31.2 = 175.2 mm²

Answer 2

Check the picture below.

so, the triangular prism is really 2 triangles and 3 rectangles stacked up to each other at the edges.  Let's simply get the area of each shape and sum them up, and that's the area of the prism.

$\bf \stackrel{\textit{two triangles}}{2\left[ \cfrac{1}{2}(\stackrel{base}{6})(\stackrel{height}{5.2}) \right]}+\stackrel{\textit{right-side rectangle}}{(8\cdot 6)}+\stackrel{\textit{left-side rectangle}}{(8\cdot 6)}+\stackrel{\textit{base rectangle}}{(8\cdot 6)} \\\\\\ 31.2+48+48+48\implies 175.2$