Considering each part of the prism and it's dimensions, the surface area of the prism is of 127 cm².
What is the surface area of a figure?
It is the sum of the areas of all faces of the figure.
In this problem, the figure is composed by:
- Two right rectangular faces, with legs 5 cm and 12 cm.
- One rectangular face, with sides 6 cm and 12 cm.
- One square face, with side of 5 cm.
The measures are in cm, hence the areas will be in square centimeters. The separate areas are given by:
- [tex]A_1 = 0.5 \times 5 \times 12 = 30[/tex].
- [tex]A_2 = 6 \times 12 = 72[/tex].
- [tex]A_3 = 5^2 = 25[/tex].
Then, the surface area of the prism is given by:
S = 30 cm² + 72 cm² + 25 cm² = 127 cm².
More can be learned about surface areas at https://brainly.com/question/26702574
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