Determine the surface area of the figure if the height of the triangular face is 6 inches. The triangles are equilateral

Given:

The height of the triangular face is 6 inches.

The triangle are equilateral and the sides of the triangle are 4 inches.

The height of the prism is 10 inches.

We need to determine the surface area of the triangular prism.

Surface area:

The surface area of the triangular prism can be determined using the formula,

Substituting , , and

Thus, we get;

Thus, the surface area of the triangular prism is 144 in²

Hence, Option A is the correct answer.