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Step-by-step explanation:

Surface area = 184.86 cm²

Step-by-step Explanation:

The net of the of the triangular prism that has a right triangle base  has been drawn and attached below, with the dimensions of each part of the net included.

There are 2 right angle triangles, and 3 rectangles.

Using the net we've drawn out, let's calculate the surface area of the prism as follows:

Surface area of the prism = the area of the 2 right triangles + the area of the 3 rectangles

=>Area of the 2 right triangles:

Base (b) = 4.3cm

Height (h) = 5.2cm

Area = 2(½*4.3*5.2) = 22.36 cm²

=>Area of the the 3 rectangles:

Area of rectangle = L*W

The rectangles are of different dimensions. Thus, the area of the 3 rectangles can be calculated as follows:

Area = (10*4.3) + (10*6.75) + (10*5.2)

= 43 + 67.5 + 52

= 162.5 cm²

Surface area of the prism = 22.36 cm² + 162.5 cm² = 184.86 cm²