The surface area of the triangular prism is of 162 cm².
What is the surface area of a prism?
The surface area of a prism is given by the sum of all the areas of the prism.
This prism is composed by:
- One rectangle of dimensions 10 cm and 7 + 6 + 4 = 15 cm.
- Two right triangles, of sides 6 cm and 4 cm.
For a rectangle, the area is the multiplication of the dimensions, hence:
A1 = 10 x 15 = 150 cm².
For a right triangle, the area is half the multiplication of the sides, hence:
A2 = 0.5 x 6 x 4 = 12 cm².
Hence the surface area is:
A = A1 + A2 = 150 cm² + 12 cm² = 162 cm².
More can be learned about surface area at https://brainly.com/question/26702574
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