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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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